What is expand 4(x+1)(x-(7/4))(x+4) ?

The solution to expand 4(x+1)(x-(7/4))(x+4) is 4x^3+13x^2-19x-28

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expand 4(x+1)(x-(7/4))(x+4)

expand

4 (x + 1) (x - (\frac{7}{4})) (x + 4)

4 x^{3} + 13 x^{2} - 19 x - 28

Solution steps

4 (x + 1) (x - (\frac{7}{4})) (x + 4)

Simplify

x - (\frac{7}{4}) : x - \frac{7}{4}

= 4 (x + 1) (x - \frac{7}{4}) (x + 4)

Apply FOIL method

(x + 1) (x - \frac{7}{4}) : x^{2} - \frac{3 x}{4} - \frac{7}{4}

= 4 (x^{2} - \frac{3 x}{4} - \frac{7}{4}) (x + 4)

Expand

4 (x + 4) : 4 x + 16

= (4 x + 16) (x^{2} - \frac{3 x}{4} - \frac{7}{4})

Distribute parentheses

= 4 x x^{2} + 4 x (- \frac{3 x}{4}) + 4 x (- \frac{7}{4}) + 16 x^{2} + 16 (- \frac{3 x}{4}) + 16 (- \frac{7}{4})

Simplify

4 x x^{2} + 4 x (- \frac{3 x}{4}) + 4 x (- \frac{7}{4}) + 16 x^{2} + 16 (- \frac{3 x}{4}) + 16 (- \frac{7}{4}) : 4 x^{3} + 13 x^{2} - 19 x - 28

= 4 x^{3} + 13 x^{2} - 19 x - 28

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

\frac{e ^{- s}}{s ( s ^{2} + 2 s + 1 )}

(0.3) y (- 4, - 5)

\frac{x ^{2} ( x + 1 ) ^{2}}{4} + (x + 1)

\frac{3 ( 6 + 11 M )}{44}

What is expand 4(x+1)(x-(7/4))(x+4) ?
The solution to expand 4(x+1)(x-(7/4))(x+4) is 4x^3+13x^2-19x-28