SOLUTION: Factor the following expression into a product of two binomials: 64x^2

SOLUTION: Factor the following expression into a product of two binomials: 64x^2 - 64x + 16

Question 552022: Factor the following expression into a product of two binomials:
64x^2 - 64x + 16
Found 2 solutions by stanbon, edjones:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Factor the following expression into a product of two binomials:
64x^2 - 64x + 16
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Greatest common factor: 16
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= 16(4x^2-4x+1)
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= 16(2x-1)(2x-1)
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Cheers,
Stan H.
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Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
64x^2 - 64x + 16
16(4x^2-4x+1)
16(4x^2-2x-2x+1) Because 4*1=4 and the 2 factors of 4 whose sum is -4 are -2 and -2.
16(2x(2x-1)-1(2x-1))
16(2x-1)(2x-1)
.
Ed
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