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Example Questions
Example Question #18 : Monomials
Multiply:
To multiply this expression, multiply the monomial times both terms in the binomial.
First we will multiply , which represents
. This is why we evalute this by multiplying
and adding the exponents for x to get
.
Now multiply .
Our answer is just .
Example Question #14 : Monomials
Multiply by
.
To multiply a monomial by a polynomial, you simply multiply the monomial by each term in the polynomial. In this case that means that the solution is to multiply everything by . The answer becomes
.
Example Question #441 : Variables
Multiply:
When similar bases are multiplied, their powers can be added. Distribute the monomial through the polynomial in the parentheses.
The answer is:
Example Question #442 : Variables
Simplify:
The answers provided do not show the correct simplificaiton.
When multiplying a whole number by a polynomial, we simply multiply that number by whatever coefficient is present in front of the variables of the polynomial. We then maintain the variables in the simplified expression.
Example Question #22 : Monomials
Simplify the following expression:
Use the distributive property to multiply the monomial and polynomial.
Example Question #23 : Monomials
Evaluate the expression:
Multipying a monomial and trinomial boils down to distributing the monomial amongst all the parts of the trinomial as such:
After some cleanup we get:
Example Question #443 : Variables
Multiply:
All we need to do here is multiply every term within the polynomial by the monomial on the outside of the parentheses:
.
To do this we need to multiply every term by and by
. Remember that when we multiply by a variable (in this case
), we need to add
to each of the exponents.
So this leaves us with .
Example Question #4673 : Algebra 1
Divide:
To divide this, we must pull out a common factor from the numerator and denominator.
The common factor from the numerator is only .
The common factor from the denominator is .
The only term that will cancel is the . We cannot cancel the
inside
and
terms because they are different entities of a quantity.
The answer is:
Example Question #444 : Variables
Which of the following is equivalent to the given statement?
Which of the following is equivalent to the given statement?
This question asks us to distribute a monomial through a polynomial. To do so, we need to multiply the monomial (4b) by each part of the polynomial in parentheses.
So our answer in standard form is as follows:
Example Question #4682 : Algebra 1
Multiply the polynomial by the monomial.
When multiplying a polynomial and a monomial, distribute the monomial into the polynomial:
Then simplify and the answer is:
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