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Find the Following Product: (3x2 − 4xy) (3x2 − 3xy) - Mathematics

Answer in Brief

Find the following product:  (3x2 − 4xy) (3x2 − 3xy)

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Solution

Here, we will use the identity​ \[\left( x - a \right)\left( x - b \right) = x^2 - \left( a + b \right)x + ab\].

\[\left( 3 x^2 - 4xy \right)\left( 3 x^2 - 3xy \right)\]

\[ = \left( 3 x^2 \right)^2 - \left( 4xy + 3xy \right)\left( 3 x^2 \right) + 4xy \times 3xy\]

\[ = 9 x^4 - \left( 12 x^3 y + 9 x^3 y \right) + 12 x^2 y^2 \]

\[ = 9 x^4 - 21 x^3 y + 12 x^2 y^2\]

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APPEARS IN

RD Sharma Class 8 Maths
Chapter 6 Algebraic Expressions and Identities
Exercise 6.7 | Q 1.11 | Page 47
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