Question

${9a}^{2} - { 4b}^{2} - 3a - 2b$
FACTORISE

​

Answer 1

Answer:-

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

• Given:-

${9a}^{2} - { 4b}^{2} - 3a - 2b$

• Solution:-

$\implies 9a^{2} - 3a - 4b^{2} - 2b$

$\implies 3a(3a-1) - 2b(2b-1)$

$\implies\bf(3a-1)(2b-1)(3a-2b)$

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

Some Useful Identities:-

$\implies{(a+b)^2 = a^2 + b^2 + 2ab}$

$\implies{(a-b)^2 = a^2 + b^2 - 2ab}$

$\implies{(a+b)^3 = a^3 + b^3 + 3ab(a + b)}$

$\implies{(a-b)^3 = a^3 - b^3 - 3ab(a-b)}$

$\implies{(a^3+b^3)= (a+b)(a^2 - ab + b^2)}$

$\implies{(a^3-b^3)= (a-b)(a^2 + ab + </p><p>b^2)}$

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬