Answer:
a^2-b^2=(a+b)(a-b) where a=4x and b=5. (4x+5)(4x-5)
Step-by-step explanation:
Since both terms are perfect squares,factor using the difference of squares formula
9514 1404 393
Answer:
Step-by-step explanation:
If you consider matched parentheses to identify the contents of a "bag", the multiplier outside parentheses tells you how many bags you have. When you use the distributive property, you effectively dump all those bags on the table.
Here, the expression 4(6v +4) tells you there are 4 bags and each one contains 6v and 4. When you open them all up, you have ...
4(6v +4) = 6v +6v +6v +6v +4 +4 +4 +4
Of course, we can use multiplication to simplify repeated addition, so we can also write this as ...
4(6v +4) = 4·6v +4·4 = 24v +16
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Answer:
Step-by-step explanation:
x-intercepts exist where y is equal to 0. Where y is equal to 0 is where the graph goes through the x-axis. Our x-intercepts are (2x-3), (x + 3), and (x-4). Again, since x-intercepts exist where y = 0, then by the Zero Product Property, 2x - 3 = 0, x - 4 = 0, and x + 3 = 0. In the first x-intercept:
2x - 3 = 0 and
2x = 3 so
x = 3/2
In the second:
x - 4 = 0 so
x = 4
In the third:
x + 3 = 0 so
x = -3
So the x-intercepts in the correct order are x = 3/2, 4, -3
