What is expand (5(6-x)^2)/3 ?

The solution to expand (5(6-x)^2)/3 is (5x^2)/3-20x+60

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expand (5(6-x)^2)/3

expand

\frac{5 ( 6 - x ) ^{2}}{3}

\frac{5 x ^{2}}{3} - 20 x + 60

Solution steps

\frac{5 ( 6 - x ) ^{2}}{3}

(6 - x)^{2} = 36 - 12 x + x^{2}

= \frac{5 ( x ^{2} - 12 x + 36 )}{3}

Expand

5 (36 - 12 x + x^{2}) : 180 - 60 x + 5 x^{2}

= \frac{180 - 60 x + 5 x ^{2}}{3}

Apply the fraction rule:

\frac{a \pm b}{c} = \frac{a}{c} \pm \frac{b}{c}

\frac{180 - 60 x + 5 x ^{2}}{3} = \frac{180}{3} - \frac{60 x}{3} + \frac{5 x ^{2}}{3}

= \frac{180}{3} - \frac{60 x}{3} + \frac{5 x ^{2}}{3}

Divide the numbers:

\frac{180}{3} = 60

= 60 - \frac{60 x}{3} + \frac{5 x ^{2}}{3}

Divide the numbers:

\frac{60}{3} = 20

= 60 - 20 x + \frac{5 x ^{2}}{3}

Rewrite in standard form

= \frac{5 x ^{2}}{3} - 20 x + 60

R (- 3, 2, - 5) S (- 5, 1, - 3)

\frac{d ^{3}}{d x ^{3}} ((y) (4 x^{5} - 3 x^{4} + 2 x))

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

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

d x (2 x + 2)

What is expand (5(6-x)^2)/3 ?
The solution to expand (5(6-x)^2)/3 is (5x^2)/3-20x+60