What is expand (6n^2-6n-5)(7n^2+6n-5) ?

The solution to expand (6n^2-6n-5)(7n^2+6n-5) is 42n^4-6n^3-101n^2+25

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expand (6n^2-6n-5)(7n^2+6n-5)

expand

(6 n^{2} - 6 n - 5) (7 n^{2} + 6 n - 5)

42 n^{4} - 6 n^{3} - 101 n^{2} + 25

Solution steps

(6 n^{2} - 6 n - 5) (7 n^{2} + 6 n - 5)

Distribute parentheses

= 6 n^{2} \cdot 7 n^{2} + 6 n^{2} \cdot 6 n + 6 n^{2} (- 5) - 6 n \cdot 7 n^{2} - 6 n \cdot 6 n - 6 n (- 5) - 5 \cdot 7 n^{2} - 5 \cdot 6 n - 5 (- 5)

Simplify

6 n^{2} \cdot 7 n^{2} + 6 n^{2} \cdot 6 n + 6 n^{2} (- 5) - 6 n \cdot 7 n^{2} - 6 n \cdot 6 n - 6 n (- 5) - 5 \cdot 7 n^{2} - 5 \cdot 6 n - 5 (- 5) : 42 n^{4} - 6 n^{3} - 101 n^{2} + 25

= 42 n^{4} - 6 n^{3} - 101 n^{2} + 25

(8 + 3 i) (4 + 4 i)

\frac{- 1}{2}

- 5 k^{2} (k^{2} - 4 k)

(3 a - 5 b)^{2}

\frac{x ^{2} - 2 x - 15}{x ^{2} - 9}

What is expand (6n^2-6n-5)(7n^2+6n-5) ?
The solution to expand (6n^2-6n-5)(7n^2+6n-5) is 42n^4-6n^3-101n^2+25