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miss Akunina [59]
3 years ago
5

Plz answer it........

Mathematics
2 answers:
ddd [48]3 years ago
4 0
Here u go,the app is called photomath

bearhunter [10]3 years ago
3 0
Okay,
so,
The given expression is :
16{(a + b)}^{2}   -  49 {(a - b)}^{2}

As 16 is sqaure of 4 and 49 is square of 7, then this whole expression could also be written as

{{((4)(a + b))}}^{2}  -   {{((7)(a - b))}}^{2}
Now,
as you might've notices by now that this expression is in the form of

{x}^{2}  -  {y}^{2}
And there's an alzebric identity about it. That is
{x}^{2}  -  {y}^{2}  = (x + y)(x - y)
Now by using this alzebric identity. we're gonna split our expession as shown below:
(4(a + b)  +  7(a - b)) \times (4(a + b) - 7(a - b)  \\  \\  = (4a + 4b + 7a - 7b) \times (4a + 4b  - 7a + 7b) \\  = (11a - 3b)( 11b - 3a)




By solving the last step i.e,
(11a-3b)(11b-3a)

we'll get,
121a^2 - 33ab -33b^2 -8ab

= 121a^2-33b^2 -41ab .


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sergiy2304 [10]

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