Question

factorize- x2 +2ax-b2-2ab

Answer 1

Solution is attached below in image

Answer 2

Answer:

Faxtorisation of x²+2ax-b²-2ab

=(x-b)(x+b+2a)

Step-by-step explanation:

Given quadratic expression x²+2ax-b²-2ab

= x²+2ax-b(b+2a)

Splitting the middle term, we get

= x² -bx +(b+2a)x - b(b+2a)

= x(x-b)+ (b+2a)(x-b)

= (x-b)[ x+(b+2a)]

= (x-b)(x+b+2a)

Therefore,

Faxtorisation of x²+2ax-b²-2ab

=(x-b)(x+b+2a)

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