What is expand (6-2x)(7/2-2x)x ?

The solution to expand (6-2x)(7/2-2x)x is 21x-19x^2+4x^3

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expand (6-2x)(7/2-2x)x

expand

(6 - 2 x) (\frac{7}{2} - 2 x) x

21 x - 19 x^{2} + 4 x^{3}

Solution steps

(6 - 2 x) (\frac{7}{2} - 2 x) x

= x (6 - 2 x) (\frac{7}{2} - 2 x)

Apply FOIL method

(6 - 2 x) (\frac{7}{2} - 2 x) : 21 - 19 x + 4 x^{2}

= x (21 - 19 x + 4 x^{2})

Apply the distributive law:

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

x (21 - 19 x + 4 x^{2}) = x \cdot 21 + x (- 19 x) + x \cdot 4 x^{2}

= x \cdot 21 + x (- 19 x) + x \cdot 4 x^{2}

Simplify

x \cdot 21 + x (- 19 x) + x \cdot 4 x^{2} : 21 x - 19 x^{2} + 4 x^{3}

= 21 x - 19 x^{2} + 4 x^{3}

15 x + \frac{( 3 - 6 ) x ^{2}}{4}

\frac{\partial}{\partial x} (5 e^{y}) + e^{y} (5 x + 5 y)

\frac{3}{( v - 6 ) ( v + 2 )}

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3 (1 - sin (θ))

What is expand (6-2x)(7/2-2x)x ?
The solution to expand (6-2x)(7/2-2x)x is 21x-19x^2+4x^3