Question

It also wants u to factor the expression. please help.

Answer 1

U = 4x²

V = (y - 1)

Step-by-step explanation

Noting that the difference of two squares is what is presented, that is

a² - b² = (a + b) (a - b)

So, we are asked to write

16x⁴ - (y - 1)² in that form U² - V² = (U + V) (U - V)

Comparing the given equation to U² - V²

we can see that

U² = 16x⁴

Taking the square root of both sides

√(U²) = √(16x⁴)

U = 4x²

And

V² = (y - 1)²

Taking the square root of both sides

√(V²) = √[(y - 1)²]

V = (y - 1)

16x⁴ - (y - 1)²

= U² - V²

U = 4x²

V = (y - 1)

U² - V² = (U + V) (U - V)

= [4x² + (y - 1)] [4x² - (y - 1)]

Hope this Helps!!!