Question

by how much is x⁴-4x²y²+y⁴ less than x⁴+8x²y²+y⁴​

Answer 1

Step-by-step explanation:

in above I have to explain step by step solution of this question.

Answer 2

Given,

Two algebraic expressions x⁴-4x²y²+y⁴ and x⁴+8x²y²+y⁴​

To find,

By how much is x⁴-4x²y²+y⁴ less than x⁴+8x²y²+y⁴​.

Solution,

Mathematically, the given questions can be represented as-

(x⁴+8x²y²+y⁴​) - (x⁴-4x²y²+y⁴)

Since there is a negative sign ahead of the bracket  (x⁴-4x²y²+y⁴) hence the sign of all the terms would be changed.

We would get,

x⁴+8x²y²+y⁴​- x⁴+4x²y²-y⁴

We would now subtract like terms from their respective like terms.

⇒   x⁴-x⁴+y⁴-y⁴+8x²y²+4x²y²

⇒   12x²y²

x⁴-4x²y²+y⁴ is 12x²y² less than x⁴+8x²y²+y⁴​