Answer:
(5x^2-6)*(2x-7)
Step-by-step explanation:
1.(((10 • (x3)) - (5•7x2)) - 12x) + 42
2.(((2•5x3) - (5•7x2)) - 12x) + 42
3. 10x3-35x2-12x+42 is not a perfect cube
4.Factoring: 10x3-35x2-12x+42
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: -12x+42
Group 2: 10x3-35x2
Pull out from each group separately :
Group 1: (2x-7) • (-6)
Group 2: (2x-7) • (5x2)
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Add up the two groups :
(2x-7) • (5x2-6)
5. Factoring: 5x2-6
Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)
Proof : (A+B) • (A-B) =
A2 - AB + BA - B2 =
A2 - AB + AB - B2 =
A2 - B2
Note : AB = BA is the commutative property of multiplication.
Note : - AB + AB equals zero and is therefore eliminated from the expression.
= (5x2 - 6) • (2x - 7)
that should be the answer tell me if i got it wrong and ill try to fix it.
