What is (2+3x)(4-6x-5x^2)-(x-6)(x+6) ?

The solution to (2+3x)(4-6x-5x^2)-(x-6)(x+6) is -15x^3-29x^2+44

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simplify (2+3x)(4-6x-5x^2)-(x-6)(x+6)

simplify

(2 + 3 x) (4 - 6 x - 5 x^{2}) - (x - 6) (x + 6)

- 15 x^{3} - 29 x^{2} + 44

Solution steps

(2 + 3 x) (4 - 6 x - 5 x^{2}) - (x - 6) (x + 6)

Expand

(2 + 3 x) (4 - 6 x - 5 x^{2}) : - 15 x^{3} - 28 x^{2} + 8

= - 15 x^{3} - 28 x^{2} + 8 - (x - 6) (x + 6)

Expand

- (x - 6) (x + 6) : - x^{2} + 36

= - 15 x^{3} - 28 x^{2} + 8 - x^{2} + 36

Group like terms

= - 15 x^{3} - 28 x^{2} - x^{2} + 8 + 36

Add similar elements:

- 28 x^{2} - x^{2} = - 29 x^{2}

= - 15 x^{3} - 29 x^{2} + 8 + 36

Add the numbers:

8 + 36 = 44

= - 15 x^{3} - 29 x^{2} + 44

n^{4} - 2 n^{3} - 3 n^{2} + 4 n + 4

232 + 372

\frac{( x ^{3} - a ^{3} )}{( x - a )}

3 \frac{1}{4} + 5 \frac{3}{4}

\frac{6}{3 + 7}

What is (2+3x)(4-6x-5x^2)-(x-6)(x+6) ?
The solution to (2+3x)(4-6x-5x^2)-(x-6)(x+6) is -15x^3-29x^2+44