What is (x+4)(x-2)+(x-6)(x+4)-2x^2 ?

The solution to (x+4)(x-2)+(x-6)(x+4)-2x^2 is -32

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simplify (x+4)(x-2)+(x-6)(x+4)-2x^2

simplify

(x + 4) (x - 2) + (x - 6) (x + 4) - 2 x^{2}

- 32

Solution steps

(x + 4) (x - 2) + (x - 6) (x + 4) - 2 x^{2}

Expand

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

= x^{2} + 2 x - 8 + (x - 6) (x + 4) - 2 x^{2}

Expand

(x - 6) (x + 4) : x^{2} - 2 x - 24

= x^{2} + 2 x - 8 + x^{2} - 2 x - 24 - 2 x^{2}

Group like terms

= x^{2} + x^{2} - 2 x^{2} + 2 x - 2 x - 8 - 24

Add similar elements:

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

= 2 x - 2 x - 8 - 24

Add similar elements:

2 x - 2 x = 0

= - 8 - 24

Subtract the numbers:

- 8 - 24 = - 32

= - 32

\frac{1}{x - 4} - \frac{5}{( x - 4 ) ^{3}} - \frac{2}{( x - 4 ) ^{2}}

(1 + i) (2 - i)

(2 n - 1)^{3}

\frac{1}{cos ^{2} ( θ )}

What is (x+4)(x-2)+(x-6)(x+4)-2x^2 ?
The solution to (x+4)(x-2)+(x-6)(x+4)-2x^2 is -32