Find the product of the following pairs of monomials

Asked by admin @ 13/08/2021 in Math viewed by 287 People

"Question 1 Find the product of the following pairs of monomials. (i) 4, 7p (ii) − 4p, 7p (iii) − 4p, 7pq (iv) 4p^3, − 3p (v) 4p, 0

Class 8 Algebraic Expressions and Identities Page 143"

Answered by admin @ 13/08/2021

Algebraic expressions:

A combination of constants and variables
connected by any or all of the four fundamental operations +, -,×,÷ is called
an algebraic expression.

Terms:

The different parts of the expression
separated by the sign+ or – are called the terms of the expression.

Monomials:

A monomial is a one term algebraic
expression .

Multiplication of algebraic expression:

The product of two factors with like signs
is positive and the product of two factors with unlike signs is negative.

Multiplication of monomials:

The coefficient of the product of two
monomials is equal to the product of their coefficients and the variable part
in the product is equal to the product of the variable in the given monomials.

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Solution:

4 x 7 p = (4 x7) (p) =28p

ii)

- 4p x 7p = (-4 x7) x (pxp)= -28p²

iii)

- 4p x 7pq = (-4 x7) x (pxp xq)=-28p²q

iv)

4p³ x - 3p = (4 x-3) x (p³xp)

=-12p⁴

4p x 0 = 0

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Hope this will help you....

Find the product of the following pairs of monomials

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