Which expression has exactly three terms? Select all the expressions that apply. A. 3x
B. y^3
C. xyz
D. x+y+1
E. x+y+z
F. y^3−2y^2+y−1
G. 4x^3+10x^4−7x
H. ( x+1)( y−2 )( z+5 )

The answer is expressions D, E, and G.

In algebra, a ‘term’ usually means the different parts of an expression that are separated by + and - signs.

Options A and B only have 1 term, an x or y³, so these are incorrect.

Option C has 1 term as well, ‘xyz’, because they are all multiplied together which makes it one term.

D and E both have 3 terms each, but F has 4 unique terms so this is incorrect also.

G has 3 unique terms, x³, x^4, and 7x, so this is correct.

When H is expanded, you will end up with more than 3 unique terms, so this is incorrect.

I hope this helps!

option 1

data plot with   3 dots over 33, 1 dot over 34, 2 dots over 35, no dot over 36, 1 dot over 37, 2 dots over 38, 4 dots over 39, and 2 dot over 40.