What is expand (3x^2)(4x^5-10x^4+6x^3) ?

The solution to expand (3x^2)(4x^5-10x^4+6x^3) is 12x^7-30x^6+18x^5

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expand (3x^2)(4x^5-10x^4+6x^3)

expand

(3 x^{2}) (4 x^{5} - 10 x^{4} + 6 x^{3})

12 x^{7} - 30 x^{6} + 18 x^{5}

Solution steps

(3 x^{2}) (4 x^{5} - 10 x^{4} + 6 x^{3})

Apply the distributive law:

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

(3 x^{2}) (4 x^{5} - 10 x^{4} + 6 x^{3}) = 3 x^{2} \cdot 4 x^{5} + 3 x^{2} (- 10 x^{4}) + 3 x^{2} \cdot 6 x^{3}

= 3 x^{2} \cdot 4 x^{5} + 3 x^{2} (- 10 x^{4}) + 3 x^{2} \cdot 6 x^{3}

Simplify

3 x^{2} \cdot 4 x^{5} + 3 x^{2} (- 10 x^{4}) + 3 x^{2} \cdot 6 x^{3} : 12 x^{7} - 30 x^{6} + 18 x^{5}

= 12 x^{7} - 30 x^{6} + 18 x^{5}

\frac{10}{200}

\frac{( x ^{- 1} y ) ^{- 3}}{4 x ^{- 2} y ^{3}}

- sin (x) - cos (x)

(x - 6) (4 x + 3)

\frac{y}{y ^{4}}

What is expand (3x^2)(4x^5-10x^4+6x^3) ?
The solution to expand (3x^2)(4x^5-10x^4+6x^3) is 12x^7-30x^6+18x^5