The product of something means multiplying the terms together.
(2x+3) (4x^2-5x+6)
Secondly you need to distribute the terms to each other (Think of problems like FOIL)
2x * 4x^2 + 2x(-5x) + 2x * 6 + 3 * 4x^2 + 3(-5x) + 3 * 6
Then you must take into account that some of the numbers are negative. (minus-plus rules!)
2x * 4x^2 - 2x * 5x + 2x * 6 + 3 * 4x^2 - 3 * 5x + 3 * 6
Now is the tricky part of simplifying everything.
2x * 4x^2 = 8x^3
2x * 5x = 10x^2
2x * 6 = 12x
3 * 4x^2 = 12x^2
3 * 5x = 15x
3 * 6 = 18
8x^3 - 10x^2 + 12x + 12x^2 - 15x + 18
Then you group like terms.
8x^3 - 10x^2 + 12x^2 - 3x + 18
8x^2 + 2x^2 - 3x + 18
The trickiest part of this is distributing all of the terms within the parentheses, once you've done that, it's smooth sailing!
Answer:
x = 31
Step-by-step explanation:
The perimeter is the sum of the equal-length sides:
63 = (x -10) +(x -10) +(x -10)
63 = 3x -30 . . . . . . . . collect terms
21 = x -10 . . . . . . . . . . divide by 3
31 = x . . . . . . . . . . . . . add 10
Answer: 24 minutes of commercials
Step-by-step explanation:
96 minutes total divided by 24 which is 4 then 4 times 6 is 24 so 24 min of commercials are in 1 hour and 36 min
Rewrite as (2^1/2 + 2^1/2)*(18^1/2-2^1/2) = 8
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