Question

1. 8р - (3р + 8)(2р - 5) 2. (2х - 4)(2х+5) + 20

Answer 1

1)8p-6p^+15p-16p+40=7p-6p^+40
2)4x^+10x-8x-20+20=4x^+2x

Answer 2

Let's simplify the given expressions:

1. 8р - (3р + 8)(2р - 5):

First, let's simplify the expression inside the parentheses: (3р + 8)(2р - 5) = 3р * 2р + 3р * (-5) + 8 * 2р + 8 * (-5) = 6р² - 15р + 16р - 40 = 6р² + р - 40

Now, substitute this simplified expression back into the original expression: 8р - (6р² + р - 40)

Distribute the negative sign to all the terms inside the parentheses: 8р - 6р² - р + 40

Combine like terms: -6р² + 7р + 40

Therefore, the simplified form of 8р - (3р + 8)(2р - 5) is -6р² + 7р + 40.

2. (2х - 4)(2х + 5) + 20:

First, let's simplify the expression inside the parentheses: (2х - 4)(2х + 5) = 2х * 2х + 2х * 5 - 4 * 2х - 4 * 5 = 4х² + 10х - 8х - 20 = 4х² + 2х - 20

Now, substitute this simplified expression back into the original expression: (4х² + 2х - 20) + 20

The +20 cancels out the -20: 4х² + 2х + 20

Therefore, the simplified form of (2х - 4)(2х + 5) + 20 is 4х² + 2х + 20.