9) Show that (x - y²)² – (x² + y²)² = -4x²y² using the difference of two squares property.

Q: Show that x2 − 4 is a factor of x4 − 5x3 + 2x2 + 20x − 24.

A:

Q: 7.Find of z = x3 + 5x2 y + 6 02z дхду

A: find ∂2z∂x∂y of z=x3+5x2y+6 formula: ∂xn∂x=nxn-1

Q: Find the larger area formed by x2 + 3y2 + 7x = 3 and 2x2 - 6y = 5. .

A:

Q: What is the product of x -2x +3 and x + 1? x3 - x2 + x + 3 1. 2 - 2x2 + 3x 3. 2- 3x + 2 2-x+ 4 4. 2.

A: Given: f(x) =x2 - 2x+3 and g(x)=x+1 We have to find the product of f(x) and g(x).

Q: 38 a Complete the square for x² – 8x + 25. b Hence find 2x +7 dr. x² - 8x + 25

A: To complete the given square and to evaluate the given integral.

Q: Show that x² − 4 is a factor of x4 − 5x³+ 2x² + 20x − 24

A:

Q: 4. 2dx x(3(Inx)*+121nx-15)2

A: Topic- Integration

Q: 3X 3Y If the dimensions of the larger rectangle are 12 by 21, what are the dimensions of the smaller…

A:

Q: The product of 2x3 + 3x² + 1 and 2x2 + 4 in z3 [x]/ is: None 4x+1 5x^2+ 5x +1 x^2+2

A:

Q: )-刈+3X-4-3 xy -2X+4y -8 %3D 8.

A:

Q: 2. 2x + 3y = 8 and 9x + 3y = 15 %3D

A: Here we are given two equations from which we need to calculate the value of the two variables, x…

Q: (ど4ー) 2dx 4 X(3(Inx)*+121nx-15)2 2)

A:

Q: True or false: x² 5x + 25 is a perfect square trinomial.

A: Given that, x2-5x+25

Q: What is the completely factored form of xy – xn

A: Given : xy3 - x3y

Q: 19) 4x'y 2x+ 4y %3D

A:

Q: True or false: x + 8x + 16 is a perfect square trinomial.

A: Given: The trinomial x2+8x+16 is a perfect square trinomial. The given trinomial can be expressed…

Q: Explain how to solve x2 + 6x + 8 = 0 using factoring and the zero-product principle.

A:

Q: The product of 2x3 + 3x² +1 and 2x² + 4 in z5[x]/ is: 5x^2+ 5x +1 4x+1 x^2+2 None

A: See the detailed solution below.

Q: What is the product of x^2-2x+3 and x+1

A: Given : x2-2x+3 and x+1

Q: s?

A: *Answer:

Q: 3 2dx (3x412x - 15)

A: Solve the integral: ∫2dx3x2+12x-15 =∫2dx3x2+4x-15                               =∫2dx3x2+4x+4-4-15…

Q: 10)-4x+ 9y%3D9 1x-3y -6

A:

Q: Find J2z Әх у of z = x3 + 5x² у + 6

A:

Q: Factor the algebraic expressi 7x +63 -

A:

Q: Show that x2 − 4  is a factor of  x4− 5x3+ 2x2 + 20x − 24.

A:

Q: How many zeros does the polynomial 3x2 + 2x + 1 have in Z6?  I thought it was three but that was…

A: Solution: Given Polynomial is  3x2+2x+1   over  ℤ6

Q: What is product of (3x + 4) (x² + 3x – 2) ?

A:

Q: 4 4 6 10 4-

A:

Q: Find the linear factors of 2x²-y-x + xy + 2y - 1.

A:

Q: Can a sum of squares be negative

A: Solution-: Can a sum of squares be negative?

Q: Find the larger area formed by x²+3y²+7x=3 and 2x²-6y=5.

A:

Q: Show that x2− 4 is a factor of x4 − 5x3 + 2x2 + 20x − 24.

A:

Q: What is the product of x2 - 2x + 3 and x + 1? 1. x3 – x² + x + 3 - 2. x3-2x2 + 3x 3. x² - 3x + 2

A: We have to find the product of      X2 – 2x + 3 and x + 1

Q: y4- 3y2-28

A: The given polynomial is: y4-3y2-28 To factorize the polynomial.

Q: 4. a. Prove that 8s + 13 L-1 (s² + 4s – 5) 5(7et +9e-5t) by using completing the square method.

A: Since there are two questions posted, we will answer the first question 4.a). If you want the…

Q: X1 ^ x2 – 2x2 ^ x3 + x1 ^ x4 -

A: Given: Quadratic form is in 4 variables    x1 x2 - 2 x2 x3 + x1 x4

Q: Evaluate the integral 1 xp- 9x² + 6x – 8 by first completing the square and using the substitution u…

A: The given integral is: ∫19x2+6x-8dx To evaluate this integral, first, make the square by adding and…

Q: x2 - 1x +

A:

Q: 1. Use the Product Rule to find for y=(4x'-3x)(2x* +5).

A: Given          y=(4x3-3x5)(2x-6+5)          find dydxx=1Product rule :- Product rule states…

Q: What is the dot product A•B if A=2x-3y and B=15x+10y?

A: We have to find dot product of A and B here

Q: why is x = 2k in this problem?

A: given set is {2, 4, 6, 8, 10}

Q: State the discriminant of 6x2-2x+K

A: Quadratic equaton is  6x2-2x+K=0

Q: 13. x2 = 4x – 15 %3D -

A:

Q: Find the second derívate of x Fx=-8/square root of 3x+6

A:

Q: Now fill in the blanks in the following to make perfect squares. ² + 14x+ 3D (х+ 2²– 8x+ = (x- | x²…

A: for making perfect square add half coefficient of x.

Q: What is the product of x - 2x + 3 and x + 1? 1. x3- x2 + x + 3

A:

Q: Show that x2 − 4 is a factor of x4− 5x3 + 2x2 + 20x − 24

A:

Q: - 8x,+ Xz - 2 X3 2 x - 6X2 - Xg =-38 -3 4, - Xz +7X3 = -34 20 | - 38 2. %3D

A:

Q: Use Gramer Rale to Find ,2 -2x + 33-Z-1 X+23-2-4 -2x -y+7=-3

A:

Q: Consider the following. y = 5x2 - 10x + 4 %3D

A: The given function,      y=5x2-10x+4

Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.