What is the simplified expression?

Solution:

By a simplified expression, we mean that we bring the given expression in a standard form of a polynomial.

We can simplify polynomial expressions in the following ways.

• By combining the like terms
• By FOIL technique. The FOIL (First, Outer, Inner, Last) technique is used for the arithmetic operation of multiplication. 

For example the simplified expression for 

• 5x⁵ + 7x³ + 8x + 9x³ - 4x⁴ - 10x - 3x⁵ is obtianed by combining like terms 2x⁵ - 4x⁴ + 16x³ - 2x.
• (x - 4)(x + 3) = x(x + 3) - 4(x + 3) = x² - x - 12.

We can simplify the arithmetic expressions by BODMAS.

Thus, we have understood why we need simplified expressions and ways to simplify the given expressions.

What is the simplified expression?

Summary:

The simplified expressions are useful in finding the zeros of a given polynomial. Also it becomes easier to perform any operations on simplifying the algebraic expressions.