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

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

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

expand

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

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

Solution steps

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

Distribute parentheses

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

Simplify

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

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

\frac{6}{23} - \frac{2}{2}

4 5^{3}

+ 3 x^{2} - 4 x - 7

- 9 \times 8

\frac{7}{4} - 2

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