What is expand-3r^2s^3(5s^5+9r-2) ?

The solution to expand-3r^2s^3(5s^5+9r-2) is -15r^2s^8-27r^3s^3+6r^2s^3

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expand-3r^2s^3(5s^5+9r-2)

expand

- 3 r^{2} s^{3} (5 s^{5} + 9 r - 2)

- 15 r^{2} s^{8} - 27 r^{3} s^{3} + 6 r^{2} s^{3}

Solution steps

- 3 r^{2} s^{3} (5 s^{5} + 9 r - 2)

Apply the distributive law:

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

- 3 r^{2} s^{3} (5 s^{5} + 9 r - 2) = - 3 r^{2} s^{3} \cdot 5 s^{5} - 3 r^{2} s^{3} \cdot 9 r - 3 r^{2} s^{3} (- 2)

= - 3 r^{2} s^{3} \cdot 5 s^{5} - 3 r^{2} s^{3} \cdot 9 r - 3 r^{2} s^{3} (- 2)

Simplify

- 3 r^{2} s^{3} \cdot 5 s^{5} - 3 r^{2} s^{3} \cdot 9 r - 3 r^{2} s^{3} (- 2) : - 15 r^{2} s^{8} - 27 r^{3} s^{3} + 6 r^{2} s^{3}

= - 15 r^{2} s^{8} - 27 r^{3} s^{3} + 6 r^{2} s^{3}

x^{3} y - x^{3}

\frac{( 8 b )}{( 16 b )}

\frac{y ^{2}}{y ^{\frac{1}{2}} \cdot y}

xx + 21 x

(2.5 x 1 0^{3}) + (5 x 1 0^{5}) - (4 x 1 0^{2})

What is expand-3r^2s^3(5s^5+9r-2) ?
The solution to expand-3r^2s^3(5s^5+9r-2) is -15r^2s^8-27r^3s^3+6r^2s^3