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Multiply: (3x2 + Y2) by (2x2 + 3y2) - Mathematics

Answer in Brief

Multiply:
(3x2 + y2) by (2x2 + 3y2)

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Solution

To multiply, we will use distributive law as follows:

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

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

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

\[ = 6 x^4 + 11 x^2 y^2 + 3 y^4\]

Thus, the answer is \[6 x^4 + 11 x^2 y^2 + 3 y^4\].

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 5 | Page 30
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