Question

10a square+ab÷3ab-b square=10​

Answer 1

$\large\sf\underline{✰\:Question}$

• $\tt\pink{\frac{10a^{2}+ab}{3ab-b^{2}}=10}$

$\large\sf\underline{✰\:Solution}$

$\sf⟹\:\frac{10a^{2}+ab}{3ab-b^{2}}=10$

$\tt\purple{\:Cross\:multiplying}$

$\sf⟹\:10a^{2}+ab= 10(3ab-b^{2})$

$\sf⟹\:10a^{2}+ab=30ab-10b^{2}$

$\sf⟹\:10a^{2}+ab-30ab+10b^{2}=0$

$\sf⟹\:10a^{2}-29ab+10b^{2}=0$

$\tt\purple{\:Now\:factorising\:by\:breaking\:middle\:term}$

$\sf⟹\:10a^{2}-(25+4)ab+10b^{2}=0$

$\sf⟹\:10a^{2}-25ab-4ab+10b^{2}=0$

$\sf⟹\:5a(2a-5b)-2b(2a-5b)=0$

$\sf⟹\:(5a-2b) (2a-5b) =0$

$\tt\blue{either\:5a-2b=0}$

$\tt\blue{➪\:5a=2b}$

$\tt\green{↬a=\frac{2b}{5}}$

$\tt\blue{oR\:2a-5b=0}$

$\tt\blue{➪\:2a=5b}$

$\tt\green{↬a=\frac{5b}{2}}$

• Thnku ❣