Use two different groupings to factor ac – ad + bd – bc in two ways. Then explain why the two factorizations are the same.

Q: Factor by grouping  3xy-9x+2y-6

A: GCF of the first two terms=3x, we factor that out GCF of the last two terms=2, we factor that out

Q: Factor completely  18^2+75x+42

A: Given the expression 18x2+75x+42

Q: Factorize:  16x2+ 60xy + 36y2

A: The given quadratic equation is,

Q: Factor the following and tell me what is the methods used (64x3 – 216 y3)

A: we have to find the factor of the following

Q: Find the factors of (a2+4b2+4b−4ab−2a−8)

A: The given equation is of the form: a2 + 4b2 + 4b - 4ab - 2a – 8 = 0

Q: Factor Completely: 10m2-90 Multiply to check:

A: We can see that 10 is multiple in both termsSo, we can factor out 10 from both terms

Q: 4. Students were asked to write a trinomial that could not be factored using integers. Pat Wrote:…

A:

Q: when factoring 15x by grouping do you write 1*15 or 3*5?

A: When factoring 15x by grouping we can use both the cases but in most cases we use 3*5.

Q: factor completely. 27xy - 36y

A: Given:  Let p(x)=27xy-36y To Find: To factorise the given equation

Q: Factor by grouping: 16xy − 3x − 6x2+8y

A:

Q: Factor by grouping:  8xy + 56x − y − 7

A:

Q: How can I factor this by grouping? 12x2 + 8xy + 15xy + 10y2

A: In Factoring terms by regrouping  you need to rearrange the terms and take Out the common term.

Q: What is the factored form of 18x-50x?

A:

Q: Factor completely. 49z ? - 64w2

A: Given : Equation 49z2 - 64w2   To find : factor of given equation?

Q: Factor x6 - 1 by first factoring as a difference of cubes, and then factor furtherby using the…

A: To Factor: x6-1

Q: Rewrite the following in factored form by factoring out the GCF: 3x3 - 4x2 - 9x + 12

A: Given: 3x3-4x2-9x+12

Q: When factoring 5x18 + 49x9 – 10 ,  by substitution, Let u = ______________. Please answer what u is…

A:

Q: What is the greatest common factor of 63rt + 42rt?

A: The greatest common factor of a polynomial is the largest polynomial that will evenly divide the…

Q: 12ax-21ay-18bx +14by   factor by grouping

A: Rearrange the expression and common out x and y and then 6 and 7 respectively.No common factors are…

Q: Factor the following by grouping: s2- - 6rs - 24r + 4sr2

A:

Q: Factor Completely: 10x3y+25x2y-60xy Multiply to check:

A: In this Question we have an algebraic expression given on whiteboard, for that expression we have to…

Q: The factored form of 400z?+40z +1 is .2

A:

Q: Factor Completely: 4x2-20x+25 Multiply to check:

A: In this Question we have an algebraic expression given on whiteboard, for that expression we have to…

Q: Factor completely by grouping: (x2 + 2)x + (x2 + 2) . 3

A: When the terms dont have a GCD we use factoring by grouping method to find the factors The steps are…

Q: Factor Completely  27a3-8b3

A:

Q: Will factored x2 − x − 20 as (x + 5)(x − 4) . Bill factored it as (x + 4)(x − 5) . Phil factored it…

A:

Q: In 1788, 30 rabbits were brought to Australia. If each year, the population of rabbits grows by a…

A: The objective is to find how many rabbits were there in Australia after 8 years.

Q: trying to factor 16

A: we have to factorize;  p(x)=16X2+26X-12

Q: When factoring 96x+ 240x + 150z, (a) ... what is the greatest common factor? (b) ... what pattern is…

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Q: Complete the parts below to factor 12x2−16x+5 by grouping.   a. Find two numbers whose product is…

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Q: please solve and show your work

A: take the common great factor.

Q: What's the HCF(Highest Common factor) of 48a^2b and 108a^5b^2.

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Q: Factor completely 6x - 216xy

A:

Q: When factoring 5x18 + 49x9 – 10 ,  by substitution, Let u = ______________. Please fill in the blank…

A:

Q: How is 9^4 common factor please

A: I have shown it step by step, I hope this helps. Simplify the numerator and then factor out 92 from…

Q: how would I factor 64x9 + y6

A: Given expression: 64x9+y6 Formula used: a3+b3=a+ba2-ab+b2

Q: Factor By Grouping  18r2 +12ry-3xr-2xy

A: Consider the given expression 18r2 +12ry-3xr-2xy

Q: What is the factored form of x2+11x+14

A: Given : 2x2 + 11x + 14

Q: Factor completely. 4r3 + 108

A:

Q: What is the factored form of 36y + 49?

A:

Q: Factor Completely: -2x2-5x-3 Multiply to check:

A: In this Question we have an algebraic expression given on whiteboard, for that expression we have to…

Q: factor completely. 3ab - 39a2b

A: Our Aim is to factor the expression given below:-3ab-39a2b  -(i)

Q: Convert fOX)=-- X+4x-6 to factored form ond Grophit

A: We have to write in factored form from given quadratic equation

Q: factor by grouping. 3ax - 3bx - ay + by

A: Given, The expression is 3ax - 3bx - ay + by.

Q: How do I factor 3x+12?

A: The expression can be factored as follows.

Q: a. What is the factored form of 9x6 + 15x4 +12x2?

A:

Q: Factorize:  24x2− 52xy + 8y2

A: GCF of the terms is 4 so factor out 4

Q: Factor completely. 2x2 - 7xy2 + 3y4

A:

Q: 4. Factor a3-2a2 - 8a

A:

Q: What is the factored form of 2x +23x+11?

A: Factorizing a polynomial is breaking a polynomial into product of small polynomials. If we multiply…