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(2xy + 3y2) (3y2 − 2) - Mathematics

Answer in Brief

(2xy + 3y2) (3y2 − 2)

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Solution

To multiply, we will use distributive law as follows:

\[\left( 2xy + 3 y^2 \right)\left( 3 y^2 - 2 \right)\]

\[ = 2xy\left( 3 y^2 - 2 \right) + 3 y^2 \left( 3 y^2 - 2 \right)\]

\[ = 6x y^3 - 4xy + 9 y^4 - 6 y^2 \]

\[ = 9 y^4 + 6x y^3 - 6 y^2 - 4xy\]

Thus, the answer is \[9 y^4 + 6x y^3 - 6 y^2 - 4xy\].

Concept: Multiplication of Algebraic Expressions
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APPEARS IN

RD Sharma Class 8 Maths
Chapter 6 Algebraic Expressions and Identities
Exercise 6.5 | Q 16 | Page 31
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