Factor by grouping. x2y - xyb - abx + ab2 The first two can factor out an xy, so xy(x - b) The second two can factor out a -ab, so -ab(x - b) and we have xy(x - b) - ab(x - b) Since what is inside the parentheses is alike, we can be assured that we have factored correctly and now continue to group: ANS: (x - b)(xy - ab)
4 (apples) plus 3 (apples) = 7 (apples). 4 (cows) + 3 (cows) = 7 (cows) 4 (x2y) + 3 (x2y) = 7 (x2y)
The coefficient is 6.
They are terms in which a variable is raised to the same power (index) in both terms. So x2y and -27x2y are like terms but not xy2.
Multiply out all brackets (parentheses). Combine "like" terms. "Like" terms are those where any algebraic letters and their powers are exactly the same, but the numbers before them (the coefficients) may be different. Thus 2x2y and 3x2y are like terms and should be combined to make 5x2y. But 2x2y and 3xy2 are not like terms since in the first it is x that is squared while in the second it is y. Similarly, x and x2 are not like terms. Also, when combining terms, remember that x2y is 1x2y.
(b - x)(ab - xy)
x2y + axy + abx + a2b Factor by grouping. xy(x + a) + ab(x + a) (xy + ab)(x + a)
Factor by grouping. x2y - xyb - abx + ab2 The first two can factor out an xy, so xy(x - b) The second two can factor out a -ab, so -ab(x - b) and we have xy(x - b) - ab(x - b) Since what is inside the parentheses is alike, we can be assured that we have factored correctly and now continue to group: ANS: (x - b)(xy - ab)
(x2 - 2)(y - 3)
You will get nonsense. You cannot plug x2y + 4 into anything!
3x3 - x2y + 12x - 4y = x2*(3x - y) + 4*(3x - y) = (x2 + 4)*(3x - y)
It is -2y + x2y - 8, which is an expression that cannot be simplified further, not can it be evaluated.
xy
4xy + x3y + yx2 + yx + 3yx = x3y + x2y + 8xy = (xy)(x2y + x + 8)
4 (apples) plus 3 (apples) = 7 (apples). 4 (cows) + 3 (cows) = 7 (cows) 4 (x2y) + 3 (x2y) = 7 (x2y)
y(x - 9)(x - 9)
(2x)ysquared