What is (4-x^2)^2-(x+2)^2 ?

The solution to (4-x^2)^2-(x+2)^2 is x^4-9x^2-4x+12

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simplify (4-x^2)^2-(x+2)^2

simplify

(4 - x^{2})^{2} - (x + 2)^{2}

x^{4} - 9 x^{2} - 4 x + 12

Solution steps

(4 - x^{2})^{2} - (x + 2)^{2}

Expand

(4 - x^{2})^{2} : 16 - 8 x^{2} + x^{4}

= 16 - 8 x^{2} + x^{4} - (x + 2)^{2}

Expand

- (x + 2)^{2} : - x^{2} - 4 x - 4

= 16 - 8 x^{2} + x^{4} - x^{2} - 4 x - 4

Group like terms

= x^{4} - 8 x^{2} - x^{2} - 4 x + 16 - 4

Add similar elements:

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

= x^{4} - 9 x^{2} - 4 x + 16 - 4

Subtract the numbers:

16 - 4 = 12

= x^{4} - 9 x^{2} - 4 x + 12

\frac{20}{20}

(\frac{3}{2} - \frac{i}{2})^{100}

\frac{147 m ^{5} n ^{7}}{441 z ^{6}}

(3.3) (4.5)

i^{107}