Thursday

April 24, 2014

April 24, 2014

Posted by **Sarah** on Sunday, December 27, 2009 at 5:28pm.

[(a^2-16b^2)/(2a-8b)] divided by [4a+16b)/(8a+24b)]

Please Help!!!! Thanks.

- Math -
**MathMate**, Sunday, December 27, 2009 at 6:10pm[(a^2-16b^2)/(2a-8b)] divided by [4a+16b)/(8a+24b)]

can be written as:

[(a^2-16b^2)/(2a-8b)]/[4a+16b)/(8a+24b)]

The division sign can be changed to a multiplication if we invert the denominator to get:

[(a^2-16b^2)/(2a-8b)]*[(8a+24b)/4a+16b)]

which readily simplifies to two terms in the numerator and two terms in the denominator:

[(a^2-16b^2)*(8a+24b)] / [(2a-8b)*(4a+16b)]

Factorize terms in the numerator:

(a^2-16b^2) = (a+4b)(a-4b)

(8a+24b) = 8(a+3b)

Factorize terms in the denominator:

(2a-8b) = 2(a-4b)

(4a+16b) = 4(a+4b)

Since most terms cancel out in the numberator and denominator, you are left with a binomial in the numerator.

Can you take it from here?

- Math -
**Sarah**, Sunday, December 27, 2009 at 6:40pmYes. thanks.

**Related Questions**

Math - How would I do: sqrt32a^8b + sqrt50a^16b Are the exponents 8b and 16b or ...

college math - (24b^3+16b^2+24b+39)/(4b+4)

Math - Simplify 2a^2 b^3 (4a^2 + 3ab -ab) A.) 8a^4 b^5 + 3a^3 b^5 - 2a^3 b^4 B...

Algebra - how do you solve this problem? (24b^3+16b^2+24b+39)/(4b+4)

math - (4,-2) and (2,-8) lie on the line Ax-2By = 28. What is the value of A? ...

algebra 1 - 7a+[4a-6b-(8a+2b)] ok so you would get this 7a+[4a-6b-8a-2b]<--- ...

mat117 - Factor each expression a^2(b-c)-16b^2(b-c) Help show me how (b-c) ...

Homework - Math - This is dividing polynomial by monomials How do yu solve these...

Algebra 1 - Give the reason (property) for each step in the simplification. 8(a...

math - 5x-(2a^6•16b)= -3b(6a^2 -(5bx))