Please advise if my answer is correct.
I need to simplify this problem:
(5x2^ + 11 - 9)(-2x2^ -x + 17)
My answer is: -10x4^ -x + 34
I am incorrect?
Thank you
see my reply here:
http://www.jiskha.com/display.cgi?id=1488737021
type 5x2^ as 5x^2 etc
so I will read that as, assuming the middle term in the first bracket is 11x
(5x^2 + 11x - 9)(-2x^2 -x + 17)
= -10x^4 - 5x^3 + 85x^2 - 22x^3 - 11x^2 + 187x + 18x^2 + 9x - 153
= -10x^4 - 27 x^3 + 92x^2 + 196x - 153
thank you...I understand and can follow your steps. My teacher did not have and middle term after the 11...I don't know if she forgot it but it is only 11...that is what confused me
To simplify the given problem, you need to apply the rules of simplifying algebraic expressions and perform the necessary calculations. Let's break it down step by step.
1. Start by distributing the multiplication across both parentheses. This can be done by multiplying each term in the first parentheses by every term in the second parentheses.
The first term in the first parentheses, 5x^2, needs to be multiplied by all three terms in the second parentheses (-2x^2, -x, 17).
Similarly, the second term in the first parentheses, 11, needs to be multiplied by all three terms in the second parentheses.
Finally, the third term in the first parentheses, -9, needs to be multiplied by all three terms in the second parentheses.
2. Simplify each of these resulting terms by combining like terms. This means that you need to combine terms that have the same variable (with the same exponent) and add or subtract their coefficients.
3. After combining like terms, simplify further if possible.
Let's go through the calculations:
Distribution:
(5x^2 + 11 - 9)(-2x^2 - x + 17)
= (5x^2 * -2x^2) + (5x^2 * -x) + (5x^2 * 17) + (11 * -2x^2) + (11 * -x) + (11 * 17) + (-9 * -2x^2) + (-9 * -x) + (-9 * 17)
Multiplication:
= -10x^4 - 5x^3 + 85x^2 - 22x^2 - 9x + 187 - 18x^2 + 9x - 153
Combining like terms:
= -10x^4 - 5x^3 + (-22x^2 - 18x^2 - 22x^2) + (85x^2 + 9x + 9x) + (187 - 153)
= -10x^4 - 5x^3 - 62x^2 + 103x + 34
So, the correct simplified expression for the given problem is:
-10x^4 - 5x^3 - 62x^2 + 103x + 34
Therefore, your initial answer of -10x^4 - x + 34 is incorrect.