Question

factorise 9m square +24mn+16n square​

Answer 1

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Answer 2

☯GIVEN :

• $\bf{9m^ 2+24mn+16n^2}$

☯TO FIND :

• Factorised Form.

☯FORMULA REQUIRED :

• $\bigstar \underline{ \boxed{ \red{\bf{ a^2 + 2ab + b^2 = (a+b) (a +b) }}}}$

➲SOLUTION :

$:\implies{\sf{9m^ 2+ 24mn+16n^2}}$

$:\implies{\sf{ (3m)^2 + 2 \times 3m \times 4n+(4n) ^2} }$

• Here, a = 3m and b = 4n.

$: \implies{\sf{{(3m+ 4n)}^{2}}}$

$:\implies{\underline{\boxed{\pink{\bf{(3m+ 4n)(3m+4n)}}}}}$

▪ Some important identities :

• $\bigstar \underline{ \boxed{ \purple{\bf{ {(a - b)}^{2} = a^2 - 2ab + b^2 }}}}$

• $\bigstar \underline{ \boxed{ \red{\bf{ {(a +b)}^{2} = a^2 + 2ab + b^2 }}}}$

• $\bigstar \underline{ \boxed{ \green{\bf{ {(a +b)}^{0} = 1 }}}}$

• $\bigstar \underline{ \boxed{ \blue{\bf{ {(a +b)}^{1} = a +b }}}}$