What is (x-3)(x+2)(x+3)(x+8)+56 ?

The solution to (x-3)(x+2)(x+3)(x+8)+56 is x^4+10x^3+7x^2-90x-88

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simplify (x-3)(x+2)(x+3)(x+8)+56

simplify

(x - 3) (x + 2) (x + 3) (x + 8) + 56

x^{4} + 10 x^{3} + 7 x^{2} - 90 x - 88

Solution steps

(x - 3) (x + 2) (x + 3) (x + 8) + 56

Expand

(x - 3) (x + 2) (x + 3) (x + 8) : x^{4} + 10 x^{3} + 7 x^{2} - 90 x - 144

= x^{4} + 10 x^{3} + 7 x^{2} - 90 x - 144 + 56

Add the numbers:

- 144 + 56 = - 88

= x^{4} + 10 x^{3} + 7 x^{2} - 90 x - 88

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What is (x-3)(x+2)(x+3)(x+8)+56 ?
The solution to (x-3)(x+2)(x+3)(x+8)+56 is x^4+10x^3+7x^2-90x-88