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, 9a²bᶟc⁴ X 8aᶟb⁴c = ( 9 X 8 ) X a²bᶟc⁴ X aᶟb⁴c
= 72 X (a² X aᶟ ) X (bᶟ X b⁴) X (c⁴ X c )
= 72 a²⁺ᶟ bᶟ⁺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.)