# Find the Following Product: (3x − 4y) (2x − 4y) - Mathematics

Find the following product: (3x − 4y) (2x − 4y)

#### Solution

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

$\left( 3x - 4y \right)\left( 2x - 4y \right)$

$= \left( 4y - 3x \right)\left( 4y - 2x \right) (\text { Taking common - 1 from both parentheses })$

$= \left( 4y \right)^2 - \left( 3x + 2x \right)\left( 4y \right) + 3x \times 2x$

$= 16 y^2 - \left( 12xy + 8xy \right) + 6 x^2$

$= 16 y^2 - 20xy + 6 x^2$

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#### APPEARS IN

RD Sharma Class 8 Maths
Chapter 6 Algebraic Expressions and Identities
Exercise 6.7 | Q 1.1 | Page 47