Question

25x^4 - 10x^2y^2 + y^4​

Answer 1

Answer:

25x⁴-10x²y²+y⁴=(5x²-y²)(5x²-y²)

Step-by-step explanation:

Given expression is 25x⁴-10x²y²+y⁴

It can be written as 5²x⁴-10x²y²+y⁴

= (5x²)²-2(5x²)(y²)+(y²)²

It is in the form of a²-2ab+b²

Here, a=5x²;b=y²

we know that

a²-2ab+b²=(a-b)²=(a-b)(a-b)

(5x²)²-2(5x²)(y²)+(y²)²=[(5x²-y²)]²

[(5x²-y²)]²=(5x²-y²)(5x²-y²)

25x⁴-10x²y²+y⁴=(5x²-y²)(5x²-y²)

Answer 2

STEP

1

:

1. Equation at the end of step 1

((25 • (x4)) - ((2•5x2) • y)) + y2

STEP

2

:

1. Equation at the end of step

2

:

(52x4 - (2•5x2y)) + y2