Question

a⁸ - a²b⁶ factprize the following expression​

Answer 1

Answer:

a8 - a2b6 =2a^2b^3

Step-by-step explanation:

take the common polynomial outside the bracket in the given expression

we get a^2 ( a^6-b^6)

I can also write it as a^2 [ (a3)^2- (b3)^2]

now using the formula a^2- b^2 = (a+b) (a-b) let us expand the expression within the bracket

here a=a^3 & b=b^3

therefore a^2 [(a^3+b^3)-(a^3-b^3)]

= a^2[ a^3+ b^3-a^3+b^3]

=a^2( 2b^3)

=2a^2b^3