Question

help solving x^2+10x+25-y^4

step by step please :)
The answer should be (x+5-y^2)(x+5+y^2)

Answer 1

If you notice, this follows the structure \(a^2-b^2=(a+b)(a-b)\):
By agroupation you can turn it into a difference of squares:
\[x^2+10x+25-y^4 \iff (x^2+10x+25)-y^4 \iff (x+5)^2-y^4\]