Question

Which algebraic expression has like terms? 9 n cubed minus 2 n + 3 minus 4 n squared 7 n cubed + 3 n minus 3 minus 6 n squared 7 n cubed + 4 n minus 3 n cubed minus 5 n squared 6 n cubed minus 4 n Superscript 4 Baseline + 6 n minus 5 n squared

Answer 1

Question

Which algebraic expression has like terms?

$9n^3 - 2n + 3 - 4n^2$

$7n^3 + 3n - 3 - 6n^2$

$7n^3 + 4n - 3n^3 - 5n^2$

$6n^3 - 4n^4 + 6n - 5n^2$

Answer:

A. $9n^3 - 2n + 3 - 4n^2$

B. $7n^3 + 3n - 3 - 6n^2$

Step-by-step explanation:

Given:

The above expressions

Required:

Expressions with like terms

Algebraic expressions are said to have like terms if and only if the have the equivalent exponents;

Like terms are dependent on the exponents and are independent on the sign of each terms.

Listing out the exponents of each options;

A. $9n^3 - 2n + 3 - 4n^2$

The exponents of n are 3 1 0 2

Rearrange: 0 1 2 3

B. $7n^3 + 3n - 3 - 6n^2$

The exponents of n are 3 1 0 2

Rearrange: 0 1 2 3

C. $7n^3 + 4n - 3n^3 - 5n^2$

The exponents of n are 3 1 3 2

Rearrange: 1 2 3 3

D. $6n^3 - 4n^4 + 6n - 5n^2$

The exponents of n are 3 4 1 2

Rearrange: 1 2 3 4

From the list of exponents above, only A and B are equal;

Hence, the following expressions have the like terms

A. $9n^3 - 2n + 3 - 4n^2$ and B. $7n^3 + 3n - 3 - 6n^2$