What is (1+x)(2-x)-(3-x)(3+x) ?

The solution to (1+x)(2-x)-(3-x)(3+x) is x-7

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simplify (1+x)(2-x)-(3-x)(3+x)

simplify

(1 + x) (2 - x) - (3 - x) (3 + x)

x - 7

Solution steps

(1 + x) (2 - x) - (3 - x) (3 + x)

Expand

(1 + x) (2 - x) : 2 + x - x^{2}

= 2 + x - x^{2} - (3 - x) (3 + x)

Expand

- (3 - x) (3 + x) : - 9 + x^{2}

= 2 + x - x^{2} - 9 + x^{2}

Group like terms

= - x^{2} + x^{2} + x + 2 - 9

Add similar elements:

- x^{2} + x^{2} = 0

= x + 2 - 9

Subtract the numbers:

2 - 9 = - 7

= x - 7

4 x^{3} + 7 x^{2} + 4 x + 7

9 x^{2} y^{7}

(- 3) - (- 1)

25 b^{2} - 144

(- x^{2} + x + 1) (3 x^{2} + 8 x + 10)