Using the six basic laws of arithmetic (associative, commutative, distributive) one at a time, explain why each real number of the following is true:
(a) for all real numbers x, y, z, and w, (x+y) + (z+w) = (w+x) + (z+y)
(b) for all real numbers x and y, (x+1) 6 + y * (x+1) = (y+6) * ( x+1)
(c) (x+4) * 6 + y * x + (x+4) + 4 * y = (x+4) * (y+7) for all x and y
(d) (x*y + v*x) + (v*y + x^2) = (x+y) * (x+y) for all x, y, and v
(e) for all real numbers x, y, a, & b, (x+y)(a+b) = xa + xb + ya + yb
Where the *, is times (multiplication)
If someone could write these out and explain why they are true, it would be greatly appreciated!
2006-09-26
02:54:52
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2 answers
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asked by
Anonymous