Question

Factorize this 7+10(x+y)-8(x+y)²

Answer 1

Answer:25 x² + 25 y² + 50 xy - 9 x² - 9 y² + 18 x y

= 16 x² + 16 y² + 68 x y 

= 4 (4 x² + 17 x y + 4 y²)

= 4 ( 4x + y) (x + 4 y)

Another way:  

 we use a² - b² = (a+b) (a-b)

 

so  25 (x+y)²  - 9 (x-y)²

 =  [ 5(x+y)  + 3 (x-y) ] * [ 5 (x+y)  - 3 (x-y) ]

 =  [ 8 x + 2 y ] * [ 2 x + 8 y]

 = 4 * (4x + y) (x + 4y)

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Step-by-step explanation:

Answer 2

this is the answer of this question