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

The solution to expand (2x^2-4x+6)(4x^2+5x-7) is 8x^4-6x^3-10x^2+58x-42

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

expand

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

8 x^{4} - 6 x^{3} - 10 x^{2} + 58 x - 42

Solution steps

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

Distribute parentheses

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

Simplify

2 x^{2} \cdot 4 x^{2} + 2 x^{2} \cdot 5 x + 2 x^{2} (- 7) - 4 x \cdot 4 x^{2} - 4 x \cdot 5 x - 4 x (- 7) + 6 \cdot 4 x^{2} + 6 \cdot 5 x + 6 (- 7) : 8 x^{4} - 6 x^{3} - 10 x^{2} + 58 x - 42

= 8 x^{4} - 6 x^{3} - 10 x^{2} + 58 x - 42

3 m^{5} + 1 + 9 m^{5} + 3 m - 2

\frac{( a ^{4} b ^{3} )}{( 5 a ^{3} b )}

m^{3} + 6 m^{2} + 3 m - 10

(3 x + 5 y)^{4}

4 x^{3} - 4 x^{2} - 21 x - 9

What is expand (2x^2-4x+6)(4x^2+5x-7) ?
The solution to expand (2x^2-4x+6)(4x^2+5x-7) is 8x^4-6x^3-10x^2+58x-42