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

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

Simplify

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

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

- \frac{6 ( 3 x ^{2} - 1 )}{( x ^{2} + 1 ) ^{3}}

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

(\frac{2 x ^{4}}{y} - \frac{y ^{2}}{x})^{10}

(r - r cos (θ))^{2}

2 (32 + 2)

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