To factor the expression 24AB, we need to identify the common factors of 24 and AB. The factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24. Since AB has no common factors other than 1, the factors of 24AB are 1, 2, 3, 4, 6, 8, 12, 24, A, B, 2A, 3A, 4A, 6A, 8A, 12A, 24A, B, 2B, 3B, 4B, 6B, 8B, 12B, and 24B.
For each expression, divide the numerator and denominator by their greatest common factor.
It is x^2 -4 = (x-2)(x+2) when factored and it is the difference of two squares
Factor each of the denominators. Make up an expression that includes all of the factors in the denominators. Example (using "^" for powers):If you have denominators (x^2 - 1), (x-1)^2 and (x+1), factor the first expression, to get denominators: (x+1)(x-1), (x-1)^2 and (x+1). Taking each factor that appears at least once, you get the common denominator: (x+1)(x-1)^2. Note: If a factor, as in this case x-1, appears more than once in one of the expressions, you need to use the highest power.
Write the general algebraic expression for each using matchstick?
imadummy property
Find a number that evenly divides each term of the expression.
For each expression, divide the numerator and denominator by their greatest common factor.
For each of a list of algebraic expressions, find one or more common factors and factorise the expression.
7*(7+t)
example x5 + 6x4 + 9x3 To factor this expression, see if each "piece" of the expression has a variable in common. In this case, each piece has an X in common. Now we factor out the smallest exponent of X that we see in the expression. x3(x2+6x +9) You could factor the x squared +6x +9 also, into (x + 3)(x+3)
yes
To find the common factor when factorising, look for any common factors that can be divided evenly from all the terms in the expression. Divide each term by this common factor, and then factorise the resulting expression further if possible. This will help simplify the expression and make it easier to work with.
11 x P x Q x R = 11PQR
Some expressions can't be factorised, and you have to use other methods to solve the equation.
-79
2(15-2n) Look for the greatest common factor of 30 and -4n. Put it out front, then divide each term by this number to get the expression in the parentheses. 30/2 = 15, -4n/2 = -2n.
A = 4x + 12 = 4x + 4 × 3 = 4(x + 3)