The GCF is x2.
x4 + x2 - 42 Let x2 = t, so that x4 = t2 t2 + t - 42 since -42 = 7(-6) and 7 + (-6) = 1, then t2 + t - 42 = (t - 6)(t + 7) = (x2 - 6)(x2 + 7) By replacing t with x2. So we have, x4 + x2 - 42 = (x2 - 6)(x2 + 7) = [x2 - (square root of 6)2](x2 + 7) = (x - sq. root of 6 )(x + sq. root of 6)(x2 + 7)
First it would be easiest to factor out the 2. 2x2-8y2 2(x2-4y2) Then you factor the part in the parenthesis as follows 2(x-2y)(x-2y) which can be simplified as 2(x-2y)2
x2 + 48x + 320
x3 + x2 - 3x - 3 x(x2 + x - 3) - 3
It is an expression that can be simplified to: 4x2-42
(3x - 5x) + (x2 - 6x2) = -2x -5x2 = -x(2 + 5x)
1 over x2
Actually, x2 - 12 cannot be simplified.
If those letters are variables or unknowns, then it can be simplified to x2 z
-1
6x3/12x = 6/12 * x3/x = 0.5*x2
It can be factored. Whether the factored form is simpler or not is a matter of opinion.sqrt( 16 - x2 ) = sqrt [ (4 + x) (4 - x) ]
Guessing they are powers and no operational symbol is between the two (ie a multiplication is assumed), then: x6 x2 = x6 + 2 = x8 Otherwise, re-ask with words for missing symbols, eg "what is x to the power 6 plus x to the power 2 simplified"
They are 4 terms of an expression that can be simplified to: 4 -15x^2
It is: 4x -34x^2 -21 simplified
x2 - 2x = x(x-2) and that cannot be simplified further.