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

Answer in Brief

Multiply:
(x2 + y2) by (3a + 2b)

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Solution

To multiply, we will use distributive law as follows:

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

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

\[ = 3a x^2 + 2b x^2 + 3a y^2 + 2b y^2\]

Thus, the answer is \[3a x^2 + 2b x^2 + 3a y^2 + 2b y^2\].

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 8 | Page 31
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