help on some math, Plzz. give out 10 points.?

Question

1.Simplify the expression x^2-4x+4(x^2+2x-5)

2.Simplify the expression 5x^2+4x-6(3x^2-2)

3.Simplify the expression x^2(4x-x+6)

Answer 1

1. X^2 -4x+4x^2 +8X-20 =
5x^2+4x-20

2. 5x^2 + 4x -18x^2+12 =
-13x^2+4x+12

3. 4x^3-x^3+6x^2 =
3x^3+6x^2

Answer 2

order of operation says that multiplication comes before addition. As a result of this for (1) you must multiply the 4 by the number in the parantheses before adding it to the other terms. The same works for the -6 in (2). For (3) you have to simplify what is the paranthese first, then you multiply the x^2


(1) x^2-4x+4(x^2+2x-5)
= x^2 - 4x +8x^2 + 8x - 20
= 9^2 + 4x -20

(2) 5x^2+4x-6(3x^2-2)
= 5x^2 +4x -18x^2 +12
= -13x^2 +4x +12

(3) x^2(4x-x+6)
= x^2 (3x+6)
= 3x^3 +6x^2

Answer 3

First you must distribute the number in front of the parenthesis, then combine like terms

x^2 - 4x + 4x^2 +8x - 20
5x^2 + 4x - 20

5x^2 + 4x - 18X^2 + 12
-13X^2 + 4x + 12

4x^3 - x^3 +6X^2
3x^3 + 6x^2
_

Answer 4

Problem #3:
x^2(4x-x+6) =
4x^3 - x^3 + 6x^2 =
3x^3 + 6x^2

Answer 5

1) 5x^2+4x-20

2) -13x^2+4x+12

3) 3x^3+6x^2

Answer 6

You should be able to do this yourself.

However, since they're all similar, I'll give you an idea of how to solve it.

First use the ditributive property. Then, add those with similar exponents (this means that x's can't be added to x^2, or those with out an x)