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Find the Following Product: 1.5x(10x2y − 100xy2) - Mathematics

Answer in Brief

Find the following product:
1.5x(10x2y − 100xy2)

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Solution

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

\[1 . 5x\left( 10 x^2 y - 100x y^2 \right)\]

\[ = \left( 1 . 5x \times 10 x^2 y \right) - \left( 1 . 5x \times 100x y^2 \right)\]

\[ = \left( 15 x^{1 + 2} y \right) - \left( 150 x^{1 + 1} y^2 \right)\]

\[ = 15 x^3 y - 150 x^2 y^2\]

Thus, the answer is \[15 x^3 y - 150 x^2 y^2\].

Concept: Multiplication of Algebraic Expressions
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APPEARS IN

RD Sharma Class 8 Maths
Chapter 6 Algebraic Expressions and Identities
Exercise 6.4 | Q 11 | Page 21
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