What is expand 7x^3(5x^2+3x+1) ?

The solution to expand 7x^3(5x^2+3x+1) is 35x^5+21x^4+7x^3

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expand 7x^3(5x^2+3x+1)

expand

7 x^{3} (5 x^{2} + 3 x + 1)

35 x^{5} + 21 x^{4} + 7 x^{3}

Solution steps

7 x^{3} (5 x^{2} + 3 x + 1)

Apply the distributive law:

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

7 x^{3} (5 x^{2} + 3 x + 1) = 7 x^{3} \cdot 5 x^{2} + 7 x^{3} \cdot 3 x + 7 x^{3} \cdot 1

= 7 x^{3} \cdot 5 x^{2} + 7 x^{3} \cdot 3 x + 7 x^{3} \cdot 1

Simplify

7 x^{3} \cdot 5 x^{2} + 7 x^{3} \cdot 3 x + 7 x^{3} \cdot 1 : 35 x^{5} + 21 x^{4} + 7 x^{3}

= 35 x^{5} + 21 x^{4} + 7 x^{3}

\frac{18 x ^{6}}{27 x ^{4}}

\frac{12}{52}

\frac{1}{4} \div \frac{1}{2}

\frac{x ^{4}}{x}

(5 - x)^{3}

What is expand 7x^3(5x^2+3x+1) ?
The solution to expand 7x^3(5x^2+3x+1) is 35x^5+21x^4+7x^3