What is (u^2+5u^2v+4uv^2)-(u^2+5u^2v^2+4uv) ?

The solution to (u^2+5u^2v+4uv^2)-(u^2+5u^2v^2+4uv) is 5u^2v+4uv^2-5u^2v^2-4uv

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simplify (u^2+5u^2v+4uv^2)-(u^2+5u^2v^2+4uv)

simplify

(u^{2} + 5 u^{2} v + 4 u v^{2}) - (u^{2} + 5 u^{2} v^{2} + 4 uv)

5 u^{2} v + 4 u v^{2} - 5 u^{2} v^{2} - 4 uv

Solution steps

(u^{2} + 5 u^{2} v + 4 u v^{2}) - (u^{2} + 5 u^{2} v^{2} + 4 uv)

Apply rule:

(a) = a

(u^{2} + 5 u^{2} v + 4 u v^{2}) = u^{2} + 5 u^{2} v + 4 u v^{2}

= u^{2} + 5 u^{2} v + 4 u v^{2} - (u^{2} + 5 u^{2} v^{2} + 4 uv)

Apply the distributive law:

- (a + b) = - a - b

- (u^{2} + 5 u^{2} v^{2} + 4 uv) = - u^{2} - 5 u^{2} v^{2} - 4 uv

= u^{2} + 5 u^{2} v + 4 u v^{2} - u^{2} - 5 u^{2} v^{2} - 4 uv

Group like terms

= u^{2} - u^{2} + 5 u^{2} v + 4 u v^{2} - 5 u^{2} v^{2} - 4 uv

Add similar elements:

u^{2} - u^{2} = 0

= 5 u^{2} v + 4 u v^{2} - 5 u^{2} v^{2} - 4 uv

y - (- 10) = - 41

x^{2} - 12 x + 61 = 0

2 0^{2} + 2 1^{2} = c^{2}

- 9 - 5

17 x^{2} + 17 x = - 19

What is (u^2+5u^2v+4uv^2)-(u^2+5u^2v^2+4uv) ?
The solution to (u^2+5u^2v+4uv^2)-(u^2+5u^2v^2+4uv) is 5u^2v+4uv^2-5u^2v^2-4uv