Factor. 3a2(a – b) – 6a(a – b) + 21(a – b)?
105800
3a^2(a – b) – 6a(a – b) + 21(a – b)\n=3(a-b)( a^2 -3a +7 )\n\nsecond bracket has no (real) roots, and cannot be factored further
1124767
9a*a+6a-4b*b+1\n= (9a^2+6a+1)-4b^2\n=(3a+1)^2-(2b)^2\n=(3a+2b+1)(3a-2b+1)
898616
abc(-24a^2b+43c)/6abc\n=(1/6)(-24a^2b+43c)
492690
S(I)+3f (g)--> SF (g)\n..........2...........6
1073337
-9a-(2+6a+3a+6) = 5a\n-9a - (8+9a) = 5a\n-9a - 8 -9a = 5a\n-18a - 5a = 8\n-23a = 8\na = - 8/23
84658
i got it!\n\nit's 3(2c+7)(c-4d)(c+d)!!!!\n\n6c^3 + 21c^2 - 18dc^2 - 63cd - 24cd^2 - 84d^2\nfirst we take out factor 3:\n3(2c^3 + 7c^2 - 6dc^2 - 21cd - 8cd^2 - 28d^2)\nthen we take out (2c+7) from each pain inside the parenthesses:\n3[(2c+7)c^2 - (2c+7)3cd - (2c+7)4d^2)]\nwe take (2c+7) out:\n3(2c+7)[c^2 - 3cd - 4d^2]\nwe factor [c^2 - 3cd - 4d^2] trinomially:\nc^2 - 3cd - 4d^2 = (c-4d)(c+d)\nthen we get:\n3(2c+7)(c-4d)(c+d)\n\nam i right??\n\n:) yeah i didn't believe myself...\nbut if u really write down all your factors, it's much more easier to take them out. and it WAS fun :))
503348
No, the previous answer is wrong.\n\nGroup it like this:\n\n2p + pq -6q -3q^2\n\nthen factor like this:\np(2+q) -3q(2+q)\n\nfactor out the 2+q to get:\n(2+q)(p-3q)\n\nFOIL it out and you will see it is correct.
966048
(3ab^2)(3ab)^2\n(3ab^2)(9a^2b^2)\n27a^3b^4
81890
it's not factored completely if you leave it as a^2-25 so the proper answer is 5(a-5)(a+5)
930643
factor:\n\n(2x^2+x-6)/(2x+4)=\n\n(2x-3)(x+2) / 2(x+2)\n\nthe (x+2)s cancel out leaving\n\n(2x-3)/2
145890
9x(2)-63xy-6x+42y which is (x-7) (9x-6)
1088452
= -14a+28-4(6a-5)\n= -14a +28-24a+20\n= -38a+48
136651
7c\n\n\n2*7*c*c\n\n5*7*c\n\ncommon factors:  7 and c\n\ntherefore, it's 7c
965295
6 + 4(m+13) -9m\n6 + (4m + 52) - 9m\n58 - 5m
483173
((6p - 18)/(9p)) / ((3p - 9)/(p^2 + 2p))\n((6(p - 3))/3(3p)) / ((3(p - 3))/(p(p + 2)))\n((2(p - 3))/(3p)) / ((3(p - 3))/(p(p + 2)))\n((2(p - 3))/(3p)) * ((p(p + 2))/(3(p - 3))\n(2p(p - 3)(p + 2))/((9p)(p - 3))\n(2p(p + 2))/(9p)\n(2(p + 2))/9\n(2p + 4)/9
766790
1. 5m^2 - 15mp - 2mr - 6pr <-- Impossible to factor by grouping. It needs to be either, exactly one of the signs needs to be reversed.\n\n2. 6-3x-2y+xy\n(6 - 3x) - (2y - xy)\n3(2 - x) - y(2 - x)\n(3 - y)(2 - x)
528677
2ab+ 2ab=4ab-ab=3ab   answer is 3ab