Question

factors of 9x^2-30x+25 are??

Answer 1

it factorises as 9x^2-15x-15x+25
then by taking common we get..3(3x-5)-5(3x-5)
so the factors are..... (3x-5)(3x-5)
hence the value of x is x= 5/3

Answer 2

Given,

The expression: 9x²-30x+25

To find,

The factors of the given expression.

Solution,

The factors of 9x²-30x+25 will be (3x-5)² or (3x-5)(3x-5).

According to the question,

The expression: 9x²-30x+25.

We will factorise it by splitting the middle term such that their addition will give -30x and multiplication will give (25×9x²).

9x²-30x+25

9x²-15x-15x+25

Taking 3x common from the first two terms and -5 from the last two terms:

3x(3x-5)-5(3x-5)

Taking (3x-5) common,

(3x-5)(3x-5)

(3x-5)²

Hence, the factors of 9x²-30x+25 are (3x-5)².