Question

5(3+x)^2 -3(3+x)+10

Answer 1

This can be written out as 5(3+x)(3+x)-3(3+x)+10

Answer 2

(3+x)(3+x) = 9+6x+x^2 using the foil (first, outside, inside, last) method.

Answer 3

Simplify:
\[5x ^{2} + 27x + 46\]

Answer 4

5(3+x)^2 - 3(3+x) + 10
5(3+x)(3+x) -9-3x + 10
5(9 + 6x + x^2) - 9 - 3x + 10
45 + 30x + 5x^2 - 9 - 3x + 10
Group some terms...
45 - 9 + 10 + 30x - 3x + 5x^2
46 + 27x + 5x^2

use the quadratic formula:

\[(-b \pm \sqrt{b^2 - 4ac} ) / 2\]

You can solve.

a = 5, b = 27, c = 46

Answer 5

You can solve, but you wont get a real answer, since the square root will be of a negative number.

Answer 6

thanks everyone!