# CLASS-8RULES FOR MULTIPLICATION OF ALGEBRAIC EXPRESSION

RULES FOR MULTIPLICATION OF ALGEBRAIC EXPRESSION

You know that, the product of a literal multiplied by itself is a power of the literal and that the index of the power is the number of times the literal is multiplied by itself.

Thus, a X a X a X a X a = a⁵ and  a X a X a = aᶟ

Then,  a⁵ X aᶟ = a⁸ = a X a X a X a X a X a X a X a = a⁸

We can generalize this as follows,

aᵐ X aⁿ =  aᵐ⁺ⁿ, we can express this as, the product of two powers (xᵐ and xⁿ) of a variable x is another power (xᵐ⁺ⁿ) of the variable x whose index (m+n) is the sum of their indices (m & n).

Similarly,  aᵐ X bⁿ X cᵖ = aᵐ bⁿ cᵖ

aᵐ X aⁿ X aᵖ = aᵐ⁺ⁿ X aᵖ = aᵐ⁺ⁿ⁺ᵖ

Multiplication of two or more Monomials-

To multiply two or more monomials, remember –

Product of two monomials = (product of numerical factors) X (product of variable factors)

The sign of the product is determined by the usual convention –

(+) X (+) = (+),   (+) X (-) = (-),   (-) X (-) = (+),   (-) X (+) = (+)