Question

If ab = 5 and a-b = 2, then find the value of a^3 – b^3
pls answer step by step

Answer 1

Answer:

Step-by-step explanation:

a-b=2

(a-b)^{2}= 2^{2}

a^{2} - 2ab + b^{2}= 4

a^{2} + b^{2}= 4+ 2(5)= 14

a3−b3=(a−b)(a^{2} + b^{2}+ab)

=2(14+5)=2(19)=38