What is (4-3x)(x+4)-5x(x+1) ?

The solution to (4-3x)(x+4)-5x(x+1) is -8x^2-13x+16

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simplify (4-3x)(x+4)-5x(x+1)

simplify

(4 - 3 x) (x + 4) - 5 x (x + 1)

- 8 x^{2} - 13 x + 16

Solution steps

(4 - 3 x) (x + 4) - 5 x (x + 1)

Expand

(4 - 3 x) (x + 4) : - 3 x^{2} - 8 x + 16

= - 3 x^{2} - 8 x + 16 - 5 x (x + 1)

Expand

- 5 x (x + 1) : - 5 x^{2} - 5 x

= - 3 x^{2} - 8 x + 16 - 5 x^{2} - 5 x

Group like terms

= - 3 x^{2} - 5 x^{2} - 8 x - 5 x + 16

Add similar elements:

- 3 x^{2} - 5 x^{2} = - 8 x^{2}

= - 8 x^{2} - 8 x - 5 x + 16

Add similar elements:

- 8 x - 5 x = - 13 x

= - 8 x^{2} - 13 x + 16

\frac{70}{1.6 8 ^{2}}

(cos (x) - sin (x))^{2}

cos (x) tan (x)

\frac{sec ^{2} ( x )}{tan ( x )}

What is (4-3x)(x+4)-5x(x+1) ?
The solution to (4-3x)(x+4)-5x(x+1) is -8x^2-13x+16