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25y2 - 49w2 = (5y)2 - (7w)2 = (5y - 7w)(5y + 7w)
56w2 + 17w - 3 = 56w2 + 24w - 7w - 3 = 8w(7w + 3) - 1(7w + 3) = (7w + 3)(8w - 1)
To simplify the expression (7w + 610w - 2), you combine the like terms (7w) and (610w). This results in (617w - 2). Thus, the simplified answer is (617w - 2).
224
8788654
An "extraneous solution" is not a characteristic of an equation, but has to do with the methods used to solve it. Typically, if you square both sides of the equation, and solve the resulting equation, you might get additional solutions that are not part of the original equation. Just do this, and check each of the solutions, whether it satisfies the original equation. If one of them doesn't, it is an "extraneous" solution introduced by the squaring.
-63=7w
16
25y2 - 49w2 = (5y)2 - (7w)2 = (5y - 7w)(5y + 7w)
56w2 + 17w - 3 = 56w2 + 24w - 7w - 3 = 8w(7w + 3) - 1(7w + 3) = (7w + 3)(8w - 1)
127w = 847w/7 = 84/7w = 12
To simplify the expression (7w + 610w - 2), you combine the like terms (7w) and (610w). This results in (617w - 2). Thus, the simplified answer is (617w - 2).
7w=122 122/7= 17.43 w=17.43
3w + 4e + 7w - e3 = 10w - e
7w - 4w - 6w = (7 - 4 - 6)w = -3w
(5y + 7w)(5y - 7w)
224