Question

p * q ^ 2 + q * b ^ 2 + p * b ^ 2 + q * a ^ 2​

Answer 1

p

2

+q

2

−a

2

−b

2

+2pq+2ab+p+q−a+b

=(p

2

+q

2

+2pq)+(p+q)−(a

2

+b

2

−2ab)−(a−b)

=(p+q)

2

+(p+q)−(a−b)

2

−(a−b)

=(p+q−a+b)(p+q+a−b)+(p+q−a+b)

=(p+q−a+b)(p+q+a−b+1)

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