Question

NEED HELP PLEASE ANSWER ASAP! (42)

Answer 1

(1) (4x - 5y)(4x + 5y)

Explanation:

Question 42

• 16x² - 25y²
• The identity to be used is : a² - b² = (a - b)(a + b)
• (1) (4x - 5y)(4x + 5y)

Answer 2

(1) (4x - 5y)(4x + 5y)

Explanation:

Difference of Two Squares:
`a^2-b^2=(a-b)(a+b)`

Therefore, we can use The Difference of Two Squares to factor this expression quickly.

Given expression:
`16x^2-25y^2`

`16=4^2 \implies 16x^2=4x \cdot 4x=(4x)^2`

`25=5^2 \implies 25y^2=5y \cdot 5y=(5y)^2`

Therefore:

`16x^2-25y^2=(4x)^2-(5y)^2`

Using The Difference of Two Squares:

`(4x)^2-(5y)^2=(4x-5y)(4x+5y)`