Advanced Math - Equivalent Expressions(10Hard)

An equivalent expression is an expression that has the same value for all values of the variable(s) involved.

3(x + 4) = 3x + 12.

Factoring an expression means rewriting it as a product of its factors.

The distributive property states that a(b + c) = ab + ac.

2x + 3x + 4 = 5x + 4.

5(x - 2) + 3x = 5x - 10 + 3x = 8x - 10.

Parentheses indicate which operations to perform first in an expression.

Like terms are terms that have the same variable raised to the same power. Here, 4a and 2a are like terms.

2(x + 3) - 4 = 2x + 6 - 4 = 2x + 2.

Two expressions are equivalent if they yield the same value for all values of the variable(s).