What is expand (3x^2-4x+7)(5x^2-6x) ?

The solution to expand (3x^2-4x+7)(5x^2-6x) is 15x^4-38x^3+59x^2-42x

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expand (3x^2-4x+7)(5x^2-6x)

expand

(3 x^{2} - 4 x + 7) (5 x^{2} - 6 x)

15 x^{4} - 38 x^{3} + 59 x^{2} - 42 x

Solution steps

(3 x^{2} - 4 x + 7) (5 x^{2} - 6 x)

Distribute parentheses

= 3 x^{2} \cdot 5 x^{2} + 3 x^{2} (- 6 x) - 4 x \cdot 5 x^{2} - 4 x (- 6 x) + 7 \cdot 5 x^{2} + 7 (- 6 x)

Simplify

3 x^{2} \cdot 5 x^{2} + 3 x^{2} (- 6 x) - 4 x \cdot 5 x^{2} - 4 x (- 6 x) + 7 \cdot 5 x^{2} + 7 (- 6 x) : 15 x^{4} - 38 x^{3} + 59 x^{2} - 42 x

= 15 x^{4} - 38 x^{3} + 59 x^{2} - 42 x

(3 y^{2})^{2}

(x + 1) (x^{2} - 5 x + 6)

1 + (- 6)

- 10128 + 92

What is expand (3x^2-4x+7)(5x^2-6x) ?
The solution to expand (3x^2-4x+7)(5x^2-6x) is 15x^4-38x^3+59x^2-42x