What is (12x^3+84x^2)/(4x^2) ?

The solution to (12x^3+84x^2)/(4x^2) is 3x+21

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simplify (12x^3+84x^2)/(4x^2)

simplify

\frac{12 x ^{3} + 84 x ^{2}}{4 x ^{2}}

3 x + 21

Solution steps

\frac{12 x ^{3} + 84 x ^{2}}{4 x ^{2}}

Factor

12 x^{3} + 84 x^{2} : 12 x^{2} (x + 7)

= \frac{12 x ^{2} ( x + 7 )}{4 x ^{2}}

Cancel the common factor:

x^{2}

= \frac{12 ( x + 7 )}{4}

Divide the numbers:

\frac{12}{4} = 3

= 3 (x + 7)

Expand

3 (x + 7) : 3 x + 21

= 3 x + 21

\frac{2 x ^{5} + 5 x ^{3}}{x}

5 x^{2} y^{2} - 15 x y + 20 x yz

2 x^{3} + 3 x^{2} - 1

b (a + b) (a - b)