4x^2 = 2 * 2 * x * x
14x(x + 2)
x2-10x-24 = (x+2)(x-12) when factored
Assuming that is x squared minus 16: x2 - 16 = (x + 4)(x - 4) (The difference of two squares.)
Think of their prime factorizations. A squared number will always have paired prime factors. When they have no prime factors in common, like 4 (2 x 2) and 9 (3 x 3), the LCM will be their product, 2 x 2 x 3 x 3 or 36 (6 squared). When they have prime factors in common, like 36 (2 x 2 x 3 x 3) and 225 (3 x 3 x 5 x 5), the LCM will still have paired factors: 2 x 2 x 3 x 3 x 5 x 5 or 900 (30 squared)
They are: (x-3)(x+3)
X squared equals x times x.
The prime factors of 21 are 3 x 7, so the prime factors of 21 squared are 32 x 72. The factors of 21 squared are 1, 3, 7, 9, 21, 49, 63, 147, and 441.
This expression factors as x -1 quantity squared.
x2 + y2 = (x + iy)(x - iy) ' i ' = sqrt(-1) K2KQU
I'm presuming its factors for a monic quadratic trinomial--of form : X squared + BX + C . You need the numbers that MULTIPLY to give C and ADD up to give B Eg X squared + 8X + 12 factors to ( X+2) (X + 6 ) BUT X squared + 7X + 12 factors to (X +3 )(X + 4) Hope this helps. Phil.
Oh, dude, that's like basic math, right? So, 2x squared plus x squared is just 3x squared. It's like adding apples to apples, but with math. Easy peasy lemon squeezy!
4x^2 = 2 * 2 * x * x
That factors to (x - 5)(x - 1)
That factors to (x - 3)(x + 6)
x2-81=(x-9)(x+9) Factors: x-9, x+9
prime factors =2^2 x 7 x 29(2^2 = 2 squared)