The GCF is 6.
15x+12y+22+3w-2y+3x+14-12+3w original = 15x+3x+12y-2y+3w+3w+22+14-12 group = 18x+10y+6w+24 answer
24 + 24 + 23 + 24 = 95
The answer is 168. Simply add the numbers together like you would for two plus two. To check your work, a calculator is the best option.
24 + 24 + 24 + 24 = 24 x 4 = 96
(2x4) + (8x3) + 18x 8 + 24 + 18x 32 + 18x
The GCF is 6.
72xy
x2-2x-24 when factorised = (x+4)(x-6)
(-5 +/- sqrt(25 -24)) /2 = (-5 +/- 1)/2 = -2.5 +/- 0.5 = -2 or -3 Factorised (x + 3)(x + 2) which confirms answers above.
108x2-102x+24 Simplified by dividing all terms by 6: 18x2-17x+4 When factorised: (9x-4)(2x-1) With a question like this using the quadratic equation formula will help.
x^3-10x²+18x+24=0 Factor the equation so we can have equations which are easier to find 0's for. (x-4)*(x²-6x-6)=0 Set each component equal to 0 and solve for x. x-4=0 x=4 x²-6x-6=0 x=(-b±√(b²-4ac))/2a x=(-6±√(36-24))/2 x=-3±√3
I know the answer is x(x^2+3x+6) + 4(x^2+3x+6) which factors to (x+4)(x^2+3x+6) but I don't know the rule behind this. Could someone explain it to me?
15x+12y+22+3w-2y+3x+14-12+3w original = 15x+3x+12y-2y+3w+3w+22+14-12 group = 18x+10y+6w+24 answer
3(6x2-7x-24) by dividing all the terms by 3
-3(x + 2)(x + 4)
24 + 24 + 23 + 24 = 95