SOLUTION: How would you simplify y= 2(x+3)^2 - 8 & how would you factor y= x^2 + 3x - 18

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: How would you simplify y= 2(x+3)^2 - 8 & how would you factor y= x^2 + 3x - 18       Log On


   

Question 1076226: How would you simplify
y= 2(x+3)^2 - 8
&
how would you factor
y= x^2 + 3x - 18
Found 3 solutions by MathLover1, Alan3354, jorel1380:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

simplify
y=+2%28x%2B3%29%5E2+-+8+
y=+2%28x%5E2%2B6x%2B9%29+-+8+
y=+2x%5E2%2B12x%2B18+-+8+
y=+2x%5E2%2B12x%2B10+...now factor completely
y=+2x%5E2%2B2x%2B10x%2B10+
y=+%282x%5E2%2B2x%29%2B%2810x%2B10%29+
y=+2x%28x%2B1%29%2B10%28x%2B1%29+
y=+%282x%2B10%29%28x%2B1%29+
y=+2%28x%2B5%29%28x%2B1%29+

factor
y=+x%5E2+%2B+3x+-+18.....write 3x as -3x%2B6x
y=+x%5E2+-3x%2B6x+-+18
y=+%28x%5E2+-3x%29%2B%286x+-+18%29
y=+x%28x+-3%29%2B6%28x+-+3%29
y=+%28x%2B6%29%28x+-+3%29


Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
How would you simplify
y= 2(x+3)^2 - 8
-------
It's an equation.
Equations are solved, not simplified.
==============
&
how would you factor
y= x^2 + 3x - 18
It's an equation.
I don't factor equations.

Answer by jorel1380(3719) About Me  (Show Source):
You can put this solution on YOUR website!
2(x+3)²-8=2(x²+6x+9)-8
=2x²+12x+18-8=2x²+12x+10
So y=2x²+12x+10
And:
y=x²+3x-18
y=(x+6)(x-3)
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