What is 3x^3y^4(-14x^2y^5) ?

The solution to 3x^3y^4(-14x^2y^5) is -42x^5y^9

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simplify 3x^3y^4(-14x^2y^5)

simplify

3 x^{3} y^{4} (- 14 x^{2} y^{5})

- 42 x^{5} y^{9}

Solution steps

3 x^{3} y^{4} (- 14 x^{2} y^{5})

Apply rule:

a (- b) = - ab

3 x^{3} y^{4} (- 14 x^{2} y^{5}) = - 3 x^{3} y^{4} \cdot 14 x^{2} y^{5}

= - 3 x^{3} y^{4} \cdot 14 x^{2} y^{5}

Multiply the numbers:

- 3 \cdot 14 = - 42

= - 42 x^{3} y^{4} x^{2} y^{5}

Simplify

x^{3} x^{2} : x^{5}

= - 42 x^{5} y^{4} y^{5}

Simplify

y^{4} y^{5} : y^{9}

= - 42 x^{5} y^{9}

49 - 121 x^{2}

2 x \cdot 1

sin^{3} (x) csc (x) + cos^{3} (x) sec (x)

x^{2} - \frac{2}{3} x + \frac{1}{9}