Question

[4x+5]2 + [4x-5]2
pls answer fast

Answer 1

Step-by-step explanation:

(4x + 5)² - (4x - 5)²

= (4x + 5 + 4x - 5)(4x + 5 - 4x + 5)

... a² - b² = (a + b)(a - b)

= (8x)(5)

= 40x

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Answer 2

Appropriate Question :-

Simplify :

$\rm \: {(4x + 5)}^{2} + {(4x - 5)}^{2}$

$\large\underline{\sf{Solution-}}$

Given expression is

$\rm \: {(4x + 5)}^{2} + {(4x - 5)}^{2}$

We know,

$\boxed{\rm{  \: {(a + b)}^{2} + {(a - b)}^{2} = 2( {a}^{2} + {b}^{2}) \: \: }}$

So, here

$\rm \: a \: = \: 4x$

$\rm \: b \: = \: 5$

So, on substituting the values, we get

$\rm \: = \: 2[ {(4x)}^{2} + {5}^{2}]$

$\rm \: = \: 2[ 16 {x}^{2} + 25]$

$\rm \: = \: {32x}^{2} + 50$

Hence,

$\rm\implies \:\boxed{\rm{  \:{(4x + 5)}^{2} + {(4x - 5)}^{2} = \: {32x}^{2} + 50 \: }}$

$\rule{190pt}{2pt}$

$\begin{gathered} \colorbox{powderblue}{ \boxed{ \begin{array}{l} \underline{\underline{ \color{orang} \text { \bf \: Additional \: information }}} \end{array}}}\end{gathered}$

$\boxed{\rm{  \: {(x + y)}^{2} = {x}^{2} + 2xy + {y}^{2} \: }}$

$\boxed{\rm{  \: {(x - y)}^{2} = {x}^{2} - 2xy + {y}^{2} \: }}$

$\boxed{\rm{  \: {(x + y)}^{2} - {(x - y)}^{2} = 4xy \: }}$

$\boxed{\rm{  \: {x}^{2} - {y}^{2} = (x + y)(x - y) \: \: }}$