Provide an appropriate response.A student thinks that the expressions (x + y)2 and x2 + y2 are equal to one another. How would you explain to the student why this is not so.

What will be an ideal response?


Answers may vary. A useful start is to show that the two expressions do not have the same value when, say, x = 1 and .
(1 + 2)2 = 32 = 9, but 12 + 22 = 5

Mathematics

You might also like to view...

Solve by the substitution method.  x + 6y = 367x + 7y = 42

A. (-6, 0) B. (36, 42) C. (0, 6) D. (1, 5)

Mathematics

Find the least common denominator for the expression. - 4

A. 36x + 20 B. 9x + 5 C. 9x D. 20

Mathematics

Solve the problem.Linda invests $25,000 for one year. Part is invested at 5%, another part at 6%, and the rest at 8%. The total income from all 3 investments is $1,600. The income from the 5% and 6% investments is the same as the income from the 8% investment. Find the amount invested at each rate.

A. $10,000 at 5%, $5,000 at 6%, $10,000 at 8% B. $8,000 at 5%, $10,000 at 6%, $7,000 at 8% C. $5,000 at 5%, $10,000 at 6%, $10,000 at 8% D. $10,000 at 5%, $10,000 at 6%, $5,000 at 8%

Mathematics

Find the vertex and axis of symmetry of the graph of the function.f(x) = x2 + 15x - 6

A. (-13, -6) ; x = -13
B. (15, 444) ; x = 15
C.  ; x = 
D.  ; x = - 

Mathematics