What is expand 2x^4(x^2+8x+15) ?

The solution to expand 2x^4(x^2+8x+15) is 2x^6+16x^5+30x^4

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expand 2x^4(x^2+8x+15)

expand

2 x^{4} (x^{2} + 8 x + 15)

2 x^{6} + 16 x^{5} + 30 x^{4}

Solution steps

2 x^{4} (x^{2} + 8 x + 15)

Apply the distributive law:

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

2 x^{4} (x^{2} + 8 x + 15) = 2 x^{4} x^{2} + 2 x^{4} \cdot 8 x + 2 x^{4} \cdot 15

= 2 x^{4} x^{2} + 2 x^{4} \cdot 8 x + 2 x^{4} \cdot 15

Simplify

2 x^{4} x^{2} + 2 x^{4} \cdot 8 x + 2 x^{4} \cdot 15 : 2 x^{6} + 16 x^{5} + 30 x^{4}

= 2 x^{6} + 16 x^{5} + 30 x^{4}

∣ - 7 + 2 ∣ + 1

8 (x^{2} + 2)

- \frac{2}{3} - \frac{3}{2}

\frac{4 x ^{2} - 36}{2 x - 6}

7 + 26

What is expand 2x^4(x^2+8x+15) ?
The solution to expand 2x^4(x^2+8x+15) is 2x^6+16x^5+30x^4