What is expand ,(5x-8q^2)(2(m-2)) ?

The solution to expand ,(5x-8q^2)(2(m-2)) is 10xm-20x-16q^2m+32q^2

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expand ,(5x-8q^2)(2(m-2))

expand

(5 x - 8 q^{2}) (2 (m - 2))

10 x m - 20 x - 16 q^{2} m + 32 q^{2}

Solution steps

(5 x - 8 q^{2}) (2 (m - 2))

= (2 (m - 2)) (5 x - 8 q^{2})

Apply the distributive law:

a (b - c) = ab - a c

(2 (m - 2)) (5 x - 8 q^{2}) = 2 (m - 2) \cdot 5 x - 2 (m - 2) \cdot 8 q^{2}

= 2 (m - 2) \cdot 5 x - 2 (m - 2) \cdot 8 q^{2}

Simplify

2 (m - 2) \cdot 5 x - 2 (m - 2) \cdot 8 q^{2} : 10 x (m - 2) - 16 q^{2} (m - 2)

= 10 x (m - 2) - 16 q^{2} (m - 2)

Expand

10 x (m - 2) : 10 x m - 20 x

= 10 x m - 20 x - 16 q^{2} (m - 2)

Expand

- 16 q^{2} (m - 2) : - 16 q^{2} m + 32 q^{2}

= 10 x m - 20 x - 16 q^{2} m + 32 q^{2}

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

\frac{4 x ^{2} - 8 x + 1}{( x + 2 ) ( x ^{2} - 2 x + 3 )}

π (2 ln (3) + \frac{2}{3})

\frac{- 4 x ^{2} - 10 x - 4}{( x ^{2} - 1 ) ^{2}}

(- 2, 2) y (3, - 5)

What is expand ,(5x-8q^2)(2(m-2)) ?
The solution to expand ,(5x-8q^2)(2(m-2)) is 10xm-20x-16q^2m+32q^2