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Algebraic Expressions and Identities — Maths STD 8 — Question

Maharashtra BoardEnglish MediumSTD 8MathsAlgebraic Expressions and Identities3 Marks
Question
Simplify:
$x^3 y\left(x^2-2 x\right)+2 x y\left(x^3-x^4\right)$
✓

Answer

To simplify, we will use distributive law as follows:​
$x^3 y\left(x^2-2 x\right)+2 x y\left(x^3-x 4\right)$
$=x^5 y-2 x^4 y+2 x^4 y-2 x^5 y$
$=x^5 y-2 x^5 y-2 x^4 y+2 x^4 y$
$=-x^5 y$

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