Question

Factor 25x^2-64

(5x+8)(5x-8)
(5x-8)^2
(5x+8)(-5x-8)
(-5x+8)(5x-8)

Answer 1

(5x-8)^2

Explanation:

Answer 2

Given Equation

`\bf \: 25 {x}^(2) - 64`

we have to factorise the given equation .

We will use the following identity here

• (a²- b²) = (a + b) ( a - b)

Let's factorise it

`\sf \longrightarrow \: 25 {x}^(2) - 64 \\ \\ \\ \sf \longrightarrow \: {5x}^(2) - {8}^(2) \\ \\ \\ \sf \longrightarrow \:(5x + 8)(5x - 8)`

Therefore,

• Required answer is ( 5x+8)(5x-8)

So, your answer is (5x+8) ( 5x-8)