What is expand 3x^2(5x^2+3x+2) ?

The solution to expand 3x^2(5x^2+3x+2) is 15x^4+9x^3+6x^2

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expand 3x^2(5x^2+3x+2)

expand

3 x^{2} (5 x^{2} + 3 x + 2)

15 x^{4} + 9 x^{3} + 6 x^{2}

Solution steps

3 x^{2} (5 x^{2} + 3 x + 2)

Apply the distributive law:

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

3 x^{2} (5 x^{2} + 3 x + 2) = 3 x^{2} \cdot 5 x^{2} + 3 x^{2} \cdot 3 x + 3 x^{2} \cdot 2

= 3 x^{2} \cdot 5 x^{2} + 3 x^{2} \cdot 3 x + 3 x^{2} \cdot 2

Simplify

3 x^{2} \cdot 5 x^{2} + 3 x^{2} \cdot 3 x + 3 x^{2} \cdot 2 : 15 x^{4} + 9 x^{3} + 6 x^{2}

= 15 x^{4} + 9 x^{3} + 6 x^{2}

1 - sin^{2} (x) - cos^{2} (x)

- 5 + 20.8 + e - \frac{188}{9}

10 x \cdot 2 x

2 x \cdot (- 3) x

\frac{1}{7} \cdot \frac{5}{3}

What is expand 3x^2(5x^2+3x+2) ?
The solution to expand 3x^2(5x^2+3x+2) is 15x^4+9x^3+6x^2