SOLUTION: (x+2z)(2x+z)..?? How to solve the given above problem using (a+b)(a-b) identity and 4ab=(a+b)^2 - (a-b)^2 identity...??

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: (x+2z)(2x+z)..?? How to solve the given above problem using (a+b)(a-b) identity and 4ab=(a+b)^2 - (a-b)^2 identity...??       Log On


   

Question 624903: (x+2z)(2x+z)..??
How to solve the given above problem using (a+b)(a-b) identity and 4ab=(a+b)^2 - (a-b)^2 identity...??
Answer by Maths68(1474) About Me  (Show Source):
You can put this solution on YOUR website!
(i)

=%28x%2B2z%29%282x%2Bz%29
=x%282x%2Bz%29%2B2z%282x%2Bz%29
=2x%5E2%2Bzx%2B4xz%2B2z%5E2%29
=2x%5E2%2B5zx%2B2z%5E2%29


(ii)

4ab=%28a%2Bb%29%5E2-%28a-b%29%5E2
4ab=%28a%5E2%2B2ab%2Bb%5E2%29-%28a%5E2-2ab%2Bb%5E2%29
4ab=a%5E2%2B2ab%2Bb%5E2-a%5E2%2B2ab-b%5E2
4ab=cross%28a%5E2%29%2B2ab%2Bcross%28b%5E2%29-cross%28a%5E2%29%2B2ab-cross%28b%5E2%29
4ab=2ab%2B2ab
4ab=4ab