Home > AC > Chapter 7 > Lesson 7.1.3 > Problem7-30

7-30.

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

1. $\left(5x+3\right)\left(x-7\right)$

Draw a generic rectangle with the dimensions given.

Multiply to find the area of each small rectangle.

Add the terms inside the rectangle to write the product as a sum.

$\left(5x + 3\right)\left(x − 7\right) = 5x^{2} + 3x − 35x − 21$

1. $-6x\left(4x-3\right)$

Use the method from part (a).