SOLUTION: Factor 64w^3 + 8x^3 Solve 2x^2 - 11x + 13 = 1

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Question 59383: Factor
64w^3 + 8x^3


Solve
2x^2 - 11x + 13 = 1
Answer by funmath(2873) About Me  (Show Source):
You can put this solution on YOUR website!
Factor
64w%5E3%2B8x%5E3
The formula for factoring the sum of cubes is highlight%28a%5E3%2Bb%5E3=%28a%2Bb%29%28a%5E2-ab%2Bb%5E2%29%29
8%288w%5E3%2Bx%5E3%29 Factor out the GCF
8%28%282w%29%5E3%2B%28x%29%5E3%29 a=2w and b=x
8%282w%2Bx%29%28%282w%29%5E2-%282w%29%28x%29%2Bx%5E2%29
highlight%288%282w%2Bx%29%284w%5E2-2wx%2Bx%5E2%29%29


Solve
2x%5E2-11x%2B13=1
2x%5E2-11x%2B13-1=1-1 set the problem = to 0.
2x%5E2-11x%2B12=0 Factor. Replace the middle term with 2 terms that multiply to give you 2*12x^2=24x^2, and add together to give you -11x. (-3x*-8x=-24x^2 and -3x+-8x=-11x)
2x%5E2-3x-8x%2B12=0 group the first 2 and last two terms.
%282x%5E2-3x%29%2B%28-8x%2B12%29=0 Factor the GCF out of each group
x%282x-3%29-4%282x-3%29=0 Factor out the 2x-3
%28x-4%29%282x-3%29=0 Set each parenthesis equal to 0 and solve for x.
x-4=0 and 2x-3=0
x-4+4=0+4 and 2x-3+3=0+3
x=4 and 2x=3
x=4 and 2x/2=3/2
x=4 and x=3/2
:
Happy Calculating!!!