What is factor (2a+b)^2-2(2a+b)-35 ?

The solution to factor (2a+b)^2-2(2a+b)-35 is (2a+b+5)(2a+b-7)

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factor (2a+b)^2-2(2a+b)-35

factor

(2 a + b)^{2} - 2 (2 a + b) - 35

(2 a + b + 5) (2 a + b - 7)

Solution steps

(2 a + b)^{2} - 2 (2 a + b) - 35

Break the expression into groups

= ((2 a + b)^{2} + 5 (2 a + b)) + (- 7 (2 a + b) - 35)

Factor out

(2 a + b)

from

(2 a + b)^{2} + 5 (2 a + b) : (2 a + b) ((2 a + b) + 5)

Factor out

- 7

from

- 7 (2 a + b) - 35 : - 7 ((2 a + b) + 5)

= (2 a + b) ((2 a + b) + 5) - 7 ((2 a + b) + 5)

Factor out common term

(2 a + b) + 5

= ((2 a + b) + 5) ((2 a + b) - 7)

Refine

= (2 a + b + 5) (2 a + b - 7)

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7 x^{- 1} + 2 x^{- 6}

What is factor (2a+b)^2-2(2a+b)-35 ?
The solution to factor (2a+b)^2-2(2a+b)-35 is (2a+b+5)(2a+b-7)