# CLASS-8HORIZONTAL MULTIPLICATION OF MONOMIAL BY MONOMIAL OF ALGEBRAIC EXPRESSION

Horizontal Method of Multiplication of Algebraic Expression -

Example.1)  Find the product of 9a²bᶟc⁴ and 8aᶟb⁴c

Answer) First, we have to find the product of numerical factors and then variable factors

So,  9a²bc⁴ X  8ab⁴c = ( 9 X 8 ) X a²bc⁴ X ab⁴c

=  72 X (a² X a ) X (b X b⁴) X (c⁴ X c )

= 72 a²⁺ b⁺⁴ c⁴⁺¹

=  72 a⁵b⁷c⁵            (Ans.)

Example.2)  Find the product of – 8a⁵bc⁵ and 12 a⁷b⁴c⁶

Answer) First, we have to find the product of numerical factors and then variable factors

So, – 8 a⁵bc⁵ and 12 a⁷b⁴c⁶ =  (- 8 X 12 ) X a⁵bc⁵ X a⁷b⁴c⁶

= - 96 X (a⁵ X a⁷ ) X (b¹ X b⁴) X (c⁵ X c⁶ )                                                                                                                     = - 96 a⁵⁺⁷ b¹⁺⁴ c⁵⁺⁶

= - 96 a¹²b⁵c¹¹         (Ans.)

Example.3)  Find the product of – 4a²b⁴c² and - 5 aᶟb⁴c⁴

Answer) First, we have to find the product of numerical factors and then variable factors

So,  – 4a²b⁴c² and - 5 aᶟb⁵c⁴ = (- 4 X - 5 ) X a²b⁴c² X aᶟb⁴c⁴

= (-) X (-) X 20 X (a² X aᶟ ) X (b⁴ X b⁴) X (c² X c⁴)

=  20 a²⁺ᶟ b⁴⁺⁴ c²⁺⁴

=  20 a⁵b⁸c⁶         (Ans.)