Algebraic Expressions and Identities — Maths STD 8 — Question
Maharashtra BoardEnglish MediumSTD 8MathsAlgebraic Expressions and Identities3 Marks
Question
Multiply:
$\left(x^6-y^6\right) \text { by }\left(x^2+y^2\right)$
✓
Answer
To multiply, we will use distributive law as follows:
$\left(x^6-y^6\right) \text { by }\left(x^2+y^2\right)$
$=x^6\left(x^2+y^2\right)-y^6\left(x^2+y 2\right)$
$=\left(x^8+x^6 y^2\right)-\left(y^6 x^2+y^8\right)$
$=x^8+x^6 y^2-y^6 x^2-y^8$
Thus, the answer is $x^8+x^6 y^2-y^6 x^2-y^8$.
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