11 x P x Q x R = 11PQR
Find a number that evenly divides each term of the expression.
7*(7+t)
-79
4x + 32 = 4(x + 8)
To factorize the expression abxb + acxc, we first identify the common factors in each term. In this case, the common factors are b in the first term and c in the second term. We then factor out these common factors to get b(a + x) + c(a + x). Finally, we factor out the common binomial factor of (a + x) to get (a + x)(b + c) as the fully factorized expression.
Find a number that evenly divides each term of the expression.
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.
To factor a coefficient, identify the greatest common factor (GCF) of the coefficients in the expression. Divide each term by this GCF to simplify the expression. Then, express the original expression as the GCF multiplied by the simplified terms in parentheses. For example, in the expression (6x^2 + 9x), the GCF is 3, so it factors to (3(2x^2 + 3x)).
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)
In both cases, you may be able to cancel common factors, thus simplifying the expression.