CPM Homework Help : AC Problem 7-30

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Home > AC > Chapter 7 > Lesson 7.1.3 > Problem 7-30

7-30.

Use a generic rectangle to multiply the expressions below. Write each answer as a product and as a sum.

$\left(5x+3\right)\left(x-7\right)$
Hint (a):
Draw a generic rectangle with the dimensions given.
Step 1(a):
Step 2(a):
Multiply to find the area of each small rectangle.
Step 3(a):
Add the terms inside the rectangle to write the product as a sum.
$\left(5x + 3\right)\left(x − 7\right) = 5x^{2} + 3x − 35x − 21$

$-6x\left(4x-3\right)$
Hint (b):
Use the method from part (a).

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