Question

factorise: p2+p-(a+1)(a+2)
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Answer 1

Given,

The quadratic equation p²+p-(a+1)(a+2) is given.

To find,

We have to find the factors of the given quadratic equation.

Solution,

The factors of the equation are.

We can simply solve the given quadratic equation by using the factorization method.

p²+(a+2)p-(a+1)p-(a+1)(a+2)

p(p+a+2) -(a+1)(p+a+2)

(p+a+2)(p-a-1)

Hence, the factors are (p+a+2)(p-a-1).