Question

Evaluate this expression

36m²-48mn+16n²

plz answer fast

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Answer 1

☆Question :

Evaluate this expression

36m²-48mn+16n²

$\huge \mathfrak{answer}$

36m² = (6m)²

16n² = (4n)²

let 6m and 4n = x and y

$\implies$ 48mn =2(x)(y)

Identity :

$\large \boxed{ \red{ {x}^{2} + 2xy \: + {y}^{2} }}$

= (6m)² + 2(6m)(4n) + (4n)²

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Answer 2

$\color{red}\large\underline{\underline{Question:}}$

$\mathtt{36m^{2} - 48mn + 16n^{2}}$

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$\color{purple}\large\underline{\underline{To\:Find:}}$

$\textit{The Evaluation of this expression:-}$

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$\color{cyan}\large\underline{\underline{We\:Know:}}$

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

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$\color{navy}\large\underline{\underline{Solution:}}$

$\mathtt{36m^{2} - 48mn + 16n^{2}}$

$\Rightarrow (6m - 4n)^{2}$

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

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