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Zigmanuir [339]
3 years ago
11

Find the sum to the equation of:

Mathematics
1 answer:
solong [7]3 years ago
5 0
\frac{a}{a^{2} - 4a + 4} + \frac{7}{a^{2} + 2a - 8} = \frac{a(a^{2} + 2a - 8)}{(a^{2} - 4a + 4)(a^{2} + 2a - 8)} + \frac{7(a^{2} - 4a + 4)}{(a^{2} - 4a + 4)(a^{2} + 2a - 8)} = \frac{a^{3} + 2a^{2} - 8a}{a^{4} - 2a^{3} - 12a^{2} + 40a - 32} + \frac{7a^{2} - 28a + 28}{a^{4} - 2a^{3} - 12a^{2} + 40a - 32} = \frac{a^{3} + 9a^{2} - 36a + 28}{a^{4} - 2a^{3} - 12a^{2} + 40a - 32}
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stealth61 [152]

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4 0
3 years ago
6x^2-4xy-15xy+10y^2 factor by grouping
PtichkaEL [24]
4 answers · Mathematics
Best Answer
We will need to split the middle term and use the grouping method. To do this multiply the coefficient of the first term (6) against the coefficient of the last term (10):

6 * 10 = 60
Factors of 60 = +-(1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60)

From the list of factors find two numbers that when added together give -19 and when multiplied together give 60. -15 and -4 added together give -19 and multiplied together give 60 so split the middle term by rewriting these values back into the expression:

6x^2 - 15xy - 4xy + 10y^2

Now use the grouping method, take out the highest common factor between the two sets of terms:

3x(2x - 5y) - 2y(2x - 5y)

Group the outside terms:

(3x - 2y)(2x - 5y)


Answers
6 = -3*-2
10 = 5*2
5*3+2*2=19
thus
(2y-3x)(5y-2x)
8 0
3 years ago
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