Hello, I am new to this website. I havea summer assignment on Algebra II. I need help on these problems. I find I be not able to understand them.
Simplify:
1)(mn^2/3)(4/mn)
2)(x+4/x-4)(1/x+4)
3)(x^2-16/2x+8)(x+4/x^2+8x+16)
4)(n/4)(n/m)
5)(3a^3-27a/2a^2+13a-7)(9a^2/4a^2-1)
Well, I will do one of them, then you try the rest and post your work. One of us will try to help if we see where you are running into trouble.
3)(x^2-16/2x+8)(x+4/x^2+8x+16)
[(x-4)(x+4) / 2(x+4 )][(x+4)/[(x+4)(x+4]]
[(x-4)/2)][1/(x+4)]
(x-4)/(2x+8)
Thank you!
Is this right?
(mn^2/3)(4/mn)
[(mn)(mn)/3] * [4/mn]
(mn/3)(4)
ANSWER: 4mn/3
I do not think m is supposed to be squared the way you typed it, only n
(m n n /3) (4 / m n)
4 n / 3
Hi! I'd be happy to help you with your Algebra II problems. Let's go through each problem step-by-step and simplify the expressions.
1) To simplify the expression (mn^2/3)(4/mn), we can first cancel out any common factors between the numerator and denominator. In this case, we can cancel out an 'n' from the numerator and denominator:
= (m * n^2/3) * (4/(n * n))
= (m * n^2 * 4)/(3 * n^2)
= (4mn^2)/(3n^2)
Therefore, the simplified expression is 4mn^2 / 3n^2.
2) For the expression (x+4)/(x-4) * 1/(x+4), we can start by canceling out the common factor of (x+4) in the numerator and denominator:
= (x+4)/(x-4) * 1/(x+4)
= 1/(x-4)
The simplified expression is 1/(x-4).
3) To simplify (x^2-16)/(2x+8) * (x+4)/(x^2+8x+16), we can start by factoring where possible:
= ((x-4)(x+4))/(2(x+4)) * (x+4)/((x+4)(x+4))
= (x-4)/(2(x+4))
The expression (x^2-16)/(2x+8) * (x+4)/(x^2+8x+16) simplifies to (x-4)/(2(x+4)).
4) The expression (n/4) * (n/m) can be simplified by multiplying the numerators and the denominators:
= (n * n)/(4 * m)
= n^2/(4m)
Therefore, the simplified expression is n^2/(4m).
5) To simplify (3a^3-27a)/(2a^2+13a-7) * (9a^2)/(4a^2-1), we can start by factoring where possible:
= (3a(a^2-9))/(2a+7)(a-1) * (9a^2)/(2a+1)(2a-1)
= (3a(a-3)(a+3))/(2a+7)(a-1) * (9a^2)/(2a+1)(2a-1)
In this case, there are no common factors that can be canceled out. Therefore, the expression does not simplify further.
I hope this helps you to understand how to simplify these algebraic expressions. If you have any further questions, please feel free to ask!