i need help with my algebra 2 homework..?

Question

find the least common multiple of each pair of polynomials.
1.3x(x+2) and 6x(2x-3)


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simplify
2.4/x squared-25 + 6/x squared+6x+5 ple ase help !

Answer 1

1) The factors of 3x(x + 2) are 3, x, and (x + 2)
The factors of 6x(2x - 3) is 2, 3, x, (2x - 3)

Write all of those factors as a set, remembering not to write any repetitions, and you get
2, 3, x, (x + 2), and (2x - 3)

Multiply it together and you get your lowest common multiple.

6x(x + 2)(2x - 3)

2) 4 / (x^2 + 25) + 6/(x^2 + 6x + 5)

First, factor the denominators.

4/[(x - 5)(x + 5)] + 6/[(x + 5)(x + 1)]

As you can see, the lowest common multiple of the denominators is (x - 5)(x + 5)(x + 1). This will be your common denominator. Put both fractions under that denominator.

[4(x + 1)] / [(x - 5)(x + 5)(x + 1)] + [6(x - 5)]/[(x - 5)(x + 5)(x + 1)]

Merge as a single fraction, with that denominator.

[4(x + 1) + 6(x - 5)] / [(x - 5)(x + 5)(x + 1)]

Expand and simplify the top.

[4x + 4 + 6x - 30)] / [(x - 5)(x + 5)(x + 1)]

[10x - 26] / [(x - 5)(x + 5)(x + 1)]

Answer 2

After seeking to remedy hindrance after hindrance on yahooanswers, I actually feel so much folks dont gain knowledge of plenty if I provide them the solutions. Heres a VERY equivalent hindrance. Just fill within the values out of your possess hindrance. (Hint: you're going to have got to use the Quadratic Formula on the finish!) Goodluck!!! QUESTION: The hypotenuse of a correct triangle has a duration of thirteen cm. The sum of the lengths of the 2 legs is 17 cm. Find the lengths of the legs. Let a = duration of 1 leg Let b = duration of different leg We are advised that: a + b = 10.23 --> b = 10.23 - b [a million] The hypotenuse is eight.312. From Pythagorus: a² + b² = eight.312² [two] Substitute [a million] into [two]: a² + (eight.312 - b)² = 169 This simplifies to: 2a² - 34a + a hundred and twenty = zero Divide through two: a² - 17a + 60 = zero which elements: (a - five)(a - 12) = zero and has roots: a = five, 12 Substitute into [a million] and get: b = 12, five The lengths of the legs are five and 12 cm.

Answer 3

4 / (x² - 25) = 4 / (x - 5).(x + 5) = B
6 / (x² + 6x + 5) = 6 / (x + 5).(x + 1) = C
Let A = B + C
Lowest common denominator of B and C is given by:-
(x + 1).(x - 5).(x + 5) = D
A = [4(x + 1) + 6(x - 5)] / D
A = (10x - 26) / D

A = (10x - 26) / (x + 1).(x - 5).(x + 5)
A = 2.(5x - 13) / (x + 1).(x - 5).(x + 5)

Answer 4

is 2.4 or 24
if 24 the the simplify version will be
(30-20*x^2)/x^2