 # Algebraic Expressions Formula

An algebraic expression is made up of constants, variables and arithmetic operators. For example, 3x – 2 is an algebraic expression. In algebra, we substitute numbers for letters. The algebraic formulas are used to make calculations easier. To find a solution to the algebraic equation, we follow a process of finding a number or a set of numbers where, if they are substituted for the variables in the equation, reduce it to identity. And the numbers are called as zeroes.

## Formulas of Algebraic Expressions

Algebraic expressions can be categorized into various types based on the number of terms and powers of variables. Some of them are given below:

Monomial: ax, ax2, x3,…

Binomial, ax + b, ax2 + b, ax2 + bx,….

Trinomial: ax2 + bx + c, ax3 + bx2 + cx,….

The basic alegbraic identities are:

• (p + q)2 = p2 + q2 + 2pq
• (p – q)2 = p2 + q2 – 2pq
• (p + q) (p – q) = p2 – q2

There are other algebra formulas too apart from these basic ones.

### Algebraic Expressions Question

Question: Find the value of (2x + 5)2.

Solution:

(2x + 5)2

We know that (p + q)2 = p2 + q2 +2pq

Here, p = 2x , q = 5

(2x + 5)= (2x)2 + 52 + 2 × 2x × 5

= 4x2 + 25 + 20x

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