Question

(2x + 5)(2x - 5)
find the product

Answer 1

4x²- 25

Explanation:

Let's use the FOIL (First, Outer, Inner, Last) method to solve:

(2x + 5)(2x - 5)

FOIL

First:

(2x + 5)(2x - 5)

2x(2x)

= 4x²

FOIL

Outer:

(2x + 5)(2x - 5)

2x(-5)

= -10x

FOIL

Inner:

(2x + 5)(2x - 5)

5(2x)

= 10x

FOIL

Last:

(2x + 5)(2x - 5)

(5)(-5)

= -25

Let's put it all together:

4x² - 10x + 10x - 25

Combine like terms:

4x² - 10x + 10x - 25

4x²- 25

Therefore, the product is 4x²- 25.

Answer 2

4x^2 -25

Explanation:

(2x + 5)(2x - 5)

FOIL

first: 2x*2x = 4x^2

outer : 2x*-5 = -10x

inner : 5*2x = 10x

last: -5*5 = -25

Add them together

4x^2 -10x +10x -25

Combine terms

4x^2 -25