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Algebraic Expressions and Identities — MATHS STD 8 — Question

Gujarat BoardEnglish MediumSTD 8MATHSAlgebraic Expressions and Identities3 Marks
Question
Simplify: $ x^2\left(x^2+1\right)-x^3(x+1)-x\left(x^3-x\right) $
✓

Answer

To simplify, we will use distributive law as follows:​
$ x^2\left(x^2+1\right)-x^3(x+1)-x\left(x^3-x\right) $
$=x^4+x^2-x^4-x^3-x^4+x^2 $
$ =x^4-x^4-x^4-x^3+x^2+x^2 $
$ =-x^4-x^3+2 x^2 $

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