What is expand (3m-4n+5)(-3m-4n) ?

The solution to expand (3m-4n+5)(-3m-4n) is -9m^2+16n^2-15m-20n

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expand (3m-4n+5)(-3m-4n)

expand

(3 m - 4 n + 5) (- 3 m - 4 n)

- 9 m^{2} + 16 n^{2} - 15 m - 20 n

Solution steps

(3 m - 4 n + 5) (- 3 m - 4 n)

Distribute parentheses

= 3 m (- 3 m) + 3 m (- 4 n) - 4 n (- 3 m) - 4 n (- 4 n) + 5 (- 3 m) + 5 (- 4 n)

Simplify

3 m (- 3 m) + 3 m (- 4 n) - 4 n (- 3 m) - 4 n (- 4 n) + 5 (- 3 m) + 5 (- 4 n) : - 9 m^{2} + 16 n^{2} - 15 m - 20 n

= - 9 m^{2} + 16 n^{2} - 15 m - 20 n

\frac{6}{3 - 2}

2 3^{3}

\frac{36}{30}

(x + 6) (3 x - 2)

\frac{36}{- 4}

What is expand (3m-4n+5)(-3m-4n) ?
The solution to expand (3m-4n+5)(-3m-4n) is -9m^2+16n^2-15m-20n