What is 15x^4y^4(-5x^3y^5) ?

The solution to 15x^4y^4(-5x^3y^5) is -75x^7y^9

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simplify 15x^4y^4(-5x^3y^5)

simplify

15 x^{4} y^{4} (- 5 x^{3} y^{5})

- 75 x^{7} y^{9}

Solution steps

15 x^{4} y^{4} (- 5 x^{3} y^{5})

Apply rule:

a (- b) = - ab

15 x^{4} y^{4} (- 5 x^{3} y^{5}) = - 15 x^{4} y^{4} \cdot 5 x^{3} y^{5}

= - 15 x^{4} y^{4} \cdot 5 x^{3} y^{5}

Multiply the numbers:

- 15 \cdot 5 = - 75

= - 75 x^{4} y^{4} x^{3} y^{5}

Simplify

x^{4} x^{3} : x^{7}

= - 75 x^{7} y^{4} y^{5}

Simplify

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

= - 75 x^{7} y^{9}

\frac{3 + 2 i}{8 - 7 i}

\frac{2}{3 x ^{2} - 10 x - 8} + \frac{1}{x - 4}

2 x \times 3

\frac{3 x + 2}{x + 6} - x

(1 - 2 x)^{5}