# Find the Following Product: 7 5 X 2 Y ( 3 5 X Y 2 + 2 5 X ) - Mathematics

Find the following product: $\frac{7}{5} x^2 y\left( \frac{3}{5}x y^2 + \frac{2}{5}x \right)$

#### Solution

To find the product, we will use distributive law as follows:

$\frac{7}{5} x^2 y\left( \frac{3}{5}x y^2 + \frac{2}{5}x \right)$

$= \frac{7}{5} x^2 y \times \frac{3}{5}x y^2 + \frac{7}{5} x^2 y \times \frac{2}{5}x$

$= \frac{21}{25} x^{2 + 1} y^{1 + 2} + \frac{14}{25} x^{2 + 1} y$

$= \frac{21}{25} x^3 y^3 + \frac{14}{25} x^3 y$

Thus, the answer is $\frac{21}{25} x^3 y^3 + \frac{14}{25} x^3 y$.

Concept: Multiplication of Algebraic Expressions
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#### APPEARS IN

RD Sharma Class 8 Maths
Chapter 6 Algebraic Expressions and Identities
Exercise 6.4 | Q 14 | Page 21