Multiply the binomial and the trinomial: (x – 5)(x
2 + 5x + 25
step by step
I got
x^3+125
but my teacher says its wrong and I dont understand what I did to get the wrong answer?
First, for any kind of help, you need clarify your trinomial expression. This x something. Is that + or minus the next part?
OH SORRY
its (x – 5)(x2 + 5x + 25)
recall that a^3-b^3 = (a-b)(a^2+ab+b^2)
so, your answer should be x^3 - 5^3
(x-5)(x^2+5x+25).
1. Multiply the 1st term of the 1st parenthesis by each term of trinomial.
2. Multiply 2nd term of 1st parenthesis by each term of trinomial.
3. Combine like-terms.
x^3+5x^2+25x - 5x^2-25x-125 = x^3-125.
(x+5)(x+2)
To multiply the binomial (x - 5) and the trinomial (x^2 + 5x + 25), you can use the distributive property. Let's break it down step by step:
Step 1: Multiply x with each term in the trinomial:
x * x^2 = x^3
x * 5x = 5x^2
x * 25 = 25x
Step 2: Multiply -5 with each term in the trinomial:
-5 * x^2 = -5x^2
-5 * 5x = -25x
-5 * 25 = -125
Step 3: Add all the terms together:
Combine the terms with the same power of x:
x^3 + 5x^2 - 5x^2 + 25x - 25x - 125
Simplify the expression by combining like terms:
x^3 - 125
So, the product of the binomial (x - 5) and the trinomial (x^2 + 5x + 25) is x^3 - 125.