What is expand 3x^2(x^2+8x+1) ?

The solution to expand 3x^2(x^2+8x+1) is 3x^4+24x^3+3x^2

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expand 3x^2(x^2+8x+1)

expand

3 x^{2} (x^{2} + 8 x + 1)

3 x^{4} + 24 x^{3} + 3 x^{2}

Solution steps

3 x^{2} (x^{2} + 8 x + 1)

Apply the distributive law:

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

3 x^{2} (x^{2} + 8 x + 1) = 3 x^{2} x^{2} + 3 x^{2} \cdot 8 x + 3 x^{2} \cdot 1

= 3 x^{2} x^{2} + 3 x^{2} \cdot 8 x + 3 x^{2} \cdot 1

Simplify

3 x^{2} x^{2} + 3 x^{2} \cdot 8 x + 3 x^{2} \cdot 1 : 3 x^{4} + 24 x^{3} + 3 x^{2}

= 3 x^{4} + 24 x^{3} + 3 x^{2}

9 (m + 8) + 11 (3 m + 4)

(3 x - 2) (2 x + 1)

\frac{3}{2} - \frac{5}{4}

\frac{( 4 v ^{- 3} ) ^{3}}{3 v ^{- 8}}

\frac{x ^{2} + 8 x + 15}{x ^{2} - x - 12}

What is expand 3x^2(x^2+8x+1) ?
The solution to expand 3x^2(x^2+8x+1) is 3x^4+24x^3+3x^2