Combining like terms.
Step 1 Make the whole number a fraction by making it ?/1 Step 2 Make the mixed number a improper fraction by multiplying the denominator by the whole number and then adding the numerator and putting that on top of the original denominator. Step 3 SOLVE using basic multiplying fractions rules Step 4 SIMPLIFY
Hopefully, one of the binomials below is either (x - 7) or (x - 6)
You didn't bother to list the binomials to choose from, but the two binomial factors of x2 + 6x - 40 are (x + 10) and (x - 4)
Binomials are algebraic expressions of the sum or difference of two terms. Some binomials can be broken down into factors. One example of this is the "difference between two squares" where the binomial a2 - b2 can be factored into (a - b)(a + b)
0
to simplify the equation
It's the difference between multiplication and division. Multiplying binomials is combining them. Factoring polynomials is breaking them apart.
When multiplying numbers with exponents, you add the exponents.
Foil
multiplying
binomials
It is only not needed if you know of another method. If FOIL is the only way you know to multiply two binomials, then it is definitely needed.
Use the "F-O-I-L" Method when multiplying two binomials. F-O-I-L stands for First, Outer, Inner, Last. Multiply the first terms together, then the outer terms, the inner terms, and the last terms.
(F)irst multiply the first terms, (O)utside next, (I)nside next, (L)ast last. This is for multiplying two binomials, like: (x+1)(x+3)
step by step
To simplify the expression (11ww - 22) when multiplying monomials and binomials, you first recognize that it consists of a monomial (11ww) and a constant term (-22). If you were to multiply it by a binomial, such as ((x + y)), you would distribute each term in the binomial to both terms in the expression. For example, multiplying by ((x + y)) would yield (11ww \cdot x + 11ww \cdot y - 22 \cdot x - 22 \cdot y).
The same way that factoring a number is different from multiplying two factors. In general, it is much easier to multiply two factors together, than to find factors that give a certain product.