6. A. Multiply a Polynomial and a Monomial
•
When multiplying a polynomial and a monomial,
simply apply the distributive property.
7. B. Multiplying Two Binomials
•
When multiplying two binomials, check and follow the pattern from the formula.
1. For the first term, just multiply the first terms of the binomials
2. For the second term, add the numbers in the second terms then write the
common variable (like x).
3. For the last term, simply multiply the second terms of the binomials.
8. C. Square of a
Binomial
•
To follow the formula, just check the variables multiplied in each term, then translate it to the given.
Example, for the first term, you jus have to square the first term. Then, the second term is the product of
the first term, the second term and 2. While the last term is the square of the second term.
If the operation is negative in the binomial, follow the same pattern from the previous example, except that
you have to use alternating signs.
9. D. Product of the Sum and Difference
of the same Two Terms
•
Check for these indicators before applying the formula:
1. The first term is identical to the first term of the second binomial (e.g. both
first terms are x)
2. The second terms in the binomial are identical (e.g. both second terms are
y)
3. The operations in the binomial are addition and subtraction (as shown in
the example)
10. E. Cube of a Binomial
•
Apply the same concept in the square of a binomial.
Check the terms/numbers multiplied in each term, then
apply this to the given.
11. F. Sum and Difference of Two Cubes
•
To follow the formula, check if the second term follows the pattern
from the original equation. Then, you can apply the formula where
you simply have to get the cube of the binomial.
12. G. Square of a Trinomial
•
To follow the formula, check if the second term follows the pattern
from the original equation. Then, you can apply the formula where
you simply have to get the cube of the binomial.