Algebraic Expressions and Identities — Maths STD 8 — Question
Maharashtra BoardEnglish MediumSTD 8MathsAlgebraic Expressions and Identities2 Marks
Question
Multiply:
$\left(2 x y+3 y^2\right)\left(3 y^2-2\right)$
✓
Answer
To multiply, we will use distributive law as follows:
$\left(2 x y+3 y^2\right)\left(3 y^2-2\right)$
$=2 x y\left(3 y^2-2\right)+3 y^2\left(3 y^2-2\right)$
$=6 x y^3-4 x y+9 y^4-6 y^2$
$=9 y^4+6 x y^3-6 y^2-4 x y$
Thus, the answer is $9 y^4+6 x y^3-6 y^2-4 x y$.
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