What is 5(2f+2)+(-3)f(4f+4) ?

The solution to 5(2f+2)+(-3)f(4f+4) is -12f^2-2f+10

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simplify 5(2f+2)+(-3)f(4f+4)

simplify

5 (2 f + 2) + (- 3) f (4 f + 4)

- 12 f^{2} - 2 f + 10

Solution steps

5 (2 f + 2) + (- 3) f (4 f + 4)

Apply rule:

(- a) = - a

(- 3) = - 3

= 5 (2 f + 2) - 3 f (4 f + 4)

Expand

5 (2 f + 2) : 10 f + 10

= 10 f + 10 - 3 f (4 f + 4)

Expand

- 3 f (4 f + 4) : - 12 f^{2} - 12 f

= 10 f + 10 - 12 f^{2} - 12 f

Group like terms

= - 12 f^{2} + 10 f - 12 f + 10

Add similar elements:

10 f - 12 f = - 2 f

= - 12 f^{2} - 2 f + 10

u^{3} + v^{3}

(+ 3 x y) - (- x y) + (x y)

\frac{( n - 1 ) \cdot ( n - 2 ) \cdot ( n - 3 ) !}{( n - 3 ) !}

(2 a)^{3} + 2 a^{3}

(2 x + 3 y + 4 c)^{2}

What is 5(2f+2)+(-3)f(4f+4) ?
The solution to 5(2f+2)+(-3)f(4f+4) is -12f^2-2f+10