0 = 2m^2 - 2m + 36
0 = 2(m^2 - m + 18)
0 = m^2 - m + 18
6(ab - ac + b2 - bc)
(x - 5)(x - 3)
6ab(2x2+x-5)
Remember to factor out the GCF of the coefficients if there is one. A perfect square binomial will always follow the pattern a squared plus or minus 2ab plus b squared. If it's plus 2ab, that factors to (a + b)(a + b) If it's minus 2ab, that factors to (a - b)(a - b)
(b + 2c)(b - c)
2
All the time
There are no rational factors.
There is no rational factorisation.
Factor it. (x - 8)(x - 2) x = 2, 8
2222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222
(3y - 5)(y + 5)
(b-c)(a+b)-ac
(a - 2)(a^2 + 6)
3x^(2) +9x - 2x -6 Collect 'like terms'. Hence 3x^(2) + 7x - 6 Next write down all the factors of '3' and '6' Hence 3 ; 1' & 3' 6 ; 1,6 ; 2,3. From these pairs of number we select a pair from each coefficient, that add/multiply to '7' . Hence (3' x 3 ) & (1' x 2) ; NB 'dashes' (') to indicate source of numbers. Write up brackets (3x 2)(x 3) -2)(x + 3) Next we notice that the '6' is negative, so the two signs are different (+/-) The '7x' is positive , so the larger number takes the positive sign . Hence (3x - 2)(x + 3)
(7a - 1)(6a + 1)
it is (x-y)(x-y) :)