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Varvara68 [4.7K]
3 years ago
5

Please solve this :)

Mathematics
1 answer:
Karolina [17]3 years ago
8 0

Answer:

1000 is the best answer yet

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If ab = 10 and a2 + b2 = 30, what is the value of<br> (a + b)^2?
Bogdan [553]
Ab=10
a^2+b^2=30
((a+b)^2=a^2+2ab+b^2=a^2+b^2+2*10=30+20=50

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25 (a square) - 4 (b square) + 28bc - 49 (c square)
LUCKY_DIMON [66]

Answer:

(5a - [2b - 7c]) and (5a + [2b + 7c])

Step-by-step explanation:

Factor 25a^2 - 4b^2 + 28bc - 49c^2.

Note that - 4b^2 + 28bc - 49c^2 involves the variables b and c, whereas 25a^2 has only one variable.  Thus, try to rewrite - 4b^2 + 28bc - 49c^2 as the square of a binomial:

- 4b^2 + 28bc - 49c^2 = -(4b^2 - 28bc + 49c^2), or

                                        -(2b - 7c)^2.

Thus, the original  25a^2 - 4b^2 + 28bc - 49c^2  looks like:

                               [5a]^2 - [2b - 7c]^2

Recall that a^2 - b^2 is a special product, the product of (a + b) and (a - b).  Applying this pattern to the problem at hand, we conclude:

Thus,   [5a]^2 - [2b - 7c]^2 has the factors (5a - [2b - 7c]) and (5a + [2b + 7c])

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Step-by-step explanation:

Plotting them out on a graph, the other 3 points are able to be connected as a parallelogram. If you don't have graph paper at home, you can do an online search for "online graph paper" and use that. I personally find it very helpful to be able to see these kinds of things with my eyes.

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