i really do not understand this please help me.
(6x2 - 4x + 11)(5x - 8) please simplify this
First multiply each term in the first parenthesis by only the first term in the second parenthesis.
6x2 * 5x = 30x3
-4x * 5x = -20x2
11 * 5x = 55x
Next multiply each term in the first parenthesis by only the second term in the second parenthesis.
6x2 * -8 = -48x2
-4x * -8 = 32x
11 * -8 = -88
Now add all of your like terms or the terms that have the same degrees.
x3s x2s xs coefficients (or no x just a number)
30x3 -20x2 55x
+ -48x2 + 32x -88
30x3 -68x2 87x -88
So, your answer is:
30x3 - 68x2 + 87x - 88
Multiply out all the terms as such:
5x(6x2 - 4x +11) - 8(6x2 - 4x + 11)
30x3 - 20x2 + 55x - 48x2 + 32x - 88
Collect similar terms:
30x3 - 68x2 + 87x + 88 » Answer
What you have to do in such a case, is to muliply each term of each factor by each term of other factors. As ax+bx = (a+b)x, (a+b)(x+y) = (a+b)x+(a+b)y = ax+bx+ay+by, so (a+b)(x+y) = ax+ay+bx+by.
Here, one way is to first distribute 5x and -8, which means that
(6x2-4x+11)(5x-8) = 5x(6x2-4x+11)-8(6x2-4x+11), then multiply 5x by 6x2, by -4x and by 11, and multiply -8 by each term too. You'll have 5x(6x2-4x+11)-8(6x2-4x+11) = 30x3-20x2+55x-48x2+32x-88.
Finally, add the coefficients of each degree of x to have 30x3-68x2+87x-88
(6x2-4x+11)(5x-8) = 30x3-68x2+87x-88