Use the grouping method to simplify the expression (x + 3)(x- 4). Distribute the factor, to the lecrne factor, So, both terms in the factor multiply =_(x- 4) + _(x- 4) %3D with the factor, We can now apply the property for the two factors. = --4x+(x-4) %3D Distribute the first term, to by it = x²-+(x-4) with both terms inside the parentheses. = x -_+_-_4 Next, distribute the to ,by bon term, multiplying it with both terms. = x? -_+_-12 The final step is to combine terms. In this case, we combine and together to get the simplified answer =x- -- in The simplified expression is the product of the two factors (x + 3) and (x- 4).
Use the grouping method to simplify the expression (x + 3)(x- 4). Distribute the factor, to the lecrne factor, So, both terms in the factor multiply =_(x- 4) + _(x- 4) %3D with the factor, We can now apply the property for the two factors. = --4x+(x-4) %3D Distribute the first term, to by it = x²-+(x-4) with both terms inside the parentheses. = x -_+_-_4 Next, distribute the to ,by bon term, multiplying it with both terms. = x? -_+_-12 The final step is to combine terms. In this case, we combine and together to get the simplified answer =x- -- in The simplified expression is the product of the two factors (x + 3) and (x- 4).
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter5: Factoring Polynomials
Section5.6: Squares Of Binomials
Problem 66WE
Related questions
Question
Transcribed Image Text:he expression.
Use the grouping method to simplify the expression (x + 3)(x- 4).
Distribute the
factor,
to the
factor,
.So, both terms in the
factor multiply
=_(x-4) +_(x-4)
with the
factor,
We can now apply the
property for the two factors.
4x+ (x- 4)
Distribute the first term,
to
by
it
with both terms inside the parentheses.
= x2 –
+_(x- 4)
Next, distribute the
term,
, to
,by
= x? -
min's
4
multiplying it with both terms.
= x? –
– 12
he final step is to combine
terms. In this case, we combine
and
together to get the simplified answer
= x? -
in
The simplified expression is the product of the two factors
(x + 3) and (x– 4).
©Edmentum. Permission granted to copy for classroom use.
mutnamb eOS
Expert Solution
Step 1
Given expression is .
Distribute the first factor to the second factor . So both terms in the first factor multiply with the second factor , we get
We can now apply the distributive property for the two factors.
Step by step
Solved in 2 steps
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