Question

simplify x to the power 4 minus y to the power 4 / X + y​

Answer 1

Solution,

Here again we add and subtract suitable terms to bring it in a factorisation form. Notice that

x4 +4y4

→(x2 )2+(2y 2 ) 2−2(x 2 )(2y 2 )−(2xy) 2

→(x 2 +2y 2 ) 2−(2xy) 2

The second expression is in the form a

2 −b 2 , where a=(x 2 +2y 2 ) and b=2xy

Hence we may write

→x 4+4y 4=(x 2+2y 2 +2xy)(x 2 +2y 2 −2xy)

Required answer,

• →x 4+4y 4=(x 2+2y 2 +2xy)(x 2 +2y 2 −2xy)

Answer 2

Answer:

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Step-by-step explanation:

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