What is expand 1/4 (5+2x)(3-2x) ?

The solution to expand 1/4 (5+2x)(3-2x) is 15/4-x-x^2

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expand 1/4 (5+2x)(3-2x)

expand

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

\frac{15}{4} - x - x^{2}

Solution steps

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

Expand

\frac{1}{4} (5 + 2 x) (3 - 2 x) : \frac{1}{4} (15 - 4 x - 4 x^{2})

= \frac{1}{4} (15 - 4 x - 4 x^{2})

Apply the distributive law:

m (a + b + c) = ma + mb + m c

\frac{1}{4} (15 - 4 x - 4 x^{2}) = \frac{1}{4} \cdot 15 + \frac{1}{4} (- 4 x) + \frac{1}{4} (- 4 x^{2})

= \frac{1}{4} \cdot 15 + \frac{1}{4} (- 4 x) + \frac{1}{4} (- 4 x^{2})

Simplify

\frac{1}{4} \cdot 15 + \frac{1}{4} (- 4 x) + \frac{1}{4} (- 4 x^{2}) : \frac{15}{4} - x - x^{2}

= \frac{15}{4} - x - x^{2}

\frac{( 107 s + 302 )}{12 ( s ^{2} - 2 s + 12 )}

\frac{3 x}{2 ( x + 1 )}

(x + 1) (x + 1)

6 (7 - 8)

(- 3 - 2 i)^{4}

What is expand 1/4 (5+2x)(3-2x) ?
The solution to expand 1/4 (5+2x)(3-2x) is 15/4-x-x^2