What is expand (u+2w)(4u-3w-2) ?

The solution to expand (u+2w)(4u-3w-2) is 4u^2+5uw-2u-6w^2-4w

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expand (u+2w)(4u-3w-2)

expand

(u + 2 w) (4 u - 3 w - 2)

4 u^{2} + 5 u w - 2 u - 6 w^{2} - 4 w

Solution steps

(u + 2 w) (4 u - 3 w - 2)

Distribute parentheses

= u \cdot 4 u + u (- 3 w) + u (- 2) + 2 w \cdot 4 u + 2 w (- 3 w) + 2 w (- 2)

Simplify

u \cdot 4 u + u (- 3 w) + u (- 2) + 2 w \cdot 4 u + 2 w (- 3 w) + 2 w (- 2) : 4 u^{2} + 5 u w - 2 u - 6 w^{2} - 4 w

= 4 u^{2} + 5 u w - 2 u - 6 w^{2} - 4 w

(x + y)^{3} - (x + y)

2 x^{2} y^{3} - 4 x^{2} z

(2 x^{2} - 3 x + 2) + (- x^{2} + x - 2)

2 cos^{2} (x) + cos (x) - 1

\frac{( - 5 x ^{2} ) ^{5}}{( - 3 x ) ^{2}}

What is expand (u+2w)(4u-3w-2) ?
The solution to expand (u+2w)(4u-3w-2) is 4u^2+5uw-2u-6w^2-4w