3 years ago

For the algebraic expression (m+3)(m+7) how would you solve this? Please write it out on steps so I can write it in my notebook

Mathematics

1 answer:

djverab [1.8K]3 years ago

8 0

Foil method
(mxm)+7m+3m+21
m*2+10m+21

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Answer:

The dimensions are:

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Step-by-step explanation:

The area of the rectangle is given as

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The factored form of this quadratic trinomial gives the dimensions of the rectangle.

We factor 3 first to obtain;

$A=3(14x^2+17x+5)$

We split the middle term to get;

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We factor within the parenthesis to get;

$A=3(2x(7x+5)+1(7x+5))$

We factor further to get;

$A=3(2x+1)(7x+5)$

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