Answer:
Approach: Difference of Squares Pattern
Step-by-step explanation:
The given binomial is:
We can rewrite to obtain:
This is a difference of two squares, so we will factor using difference of squares pattern.
Recall that:
If we let
and
Then we can factor the given binomial to obtain:
Answer:
1. 20.4
2. 84
3. 56
4. 171
5. 132
6. 297
7. 100
8. 56
9. 51
10. 828
Bonus: 644
Step-by-step explanation:
Sorry, if some are wrong.
Answer:
(x + 4) and (x + 1)
Step-by-step explanation:
x² + 5x + 4
Consider the factors of the constant term (+ 4) which sum to give the coefficient of the x- term (+ 5)
The factors are 4 and 1 , since
4 × 1 = 4 and 4 + 1 = 5 , then
x² + 5x + 4 = (x + 4)(x + 1) ← in factored form
Lets just choose the first one, 3 4 and 5. According to the Pythagorean Theorem,
a^2+b^2=c^2
So lets plug in our numbers.
3^2+4^2=c^2
The answer should be 5, but lets make sure.
3*3 = 9
4*4 = 16
9+16=c^2
25 = c^2
Square root both sides so:
5=c
And sure enough 5 is the last number on that list. The order doesn’t matter as long as the value you are trying to find is the c^2.
