Chapters

Worked Example
Practice Questions & Solutions

In algebra, a binomial is a polynomial with exactly two terms, such as (a + b). Expanding binomials—specifically squaring or cubing them—is a fundamental skill used to simplify complex equations.

Instead of multiplying the brackets manually every time, we use specific patterns known as Special Products to find the answer quickly.

Key Formulas:

Square of a Sum:

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Square of a Difference:

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Cube of a Sum:

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Cube of a Difference:

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Worked Example

Expand the following expression:

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Solution: Here, a = 2x and b = 3. We use the Square of a Sum formula.

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Practice Questions & Solutions

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Gianpiero Placidi

UK-based Chemistry graduate with a passion for education, providing clear explanations and thoughtful guidance to inspire student success.

Square of Binomial Worksheet: Squared and Cubed Binomials

Key Formulas:

Worked Example

Practice Questions & Solutions

Dividing Algebraic Fractions

Operations with Monomials

Algebraic Identities

Monomials

Polynomial Roots

Factoring Polynomials

Dividing Polynomials

Algebraic Fractions

Adding or Subtracting Algebraic Fractions

Binomial Theorem

Reducing Algebraic Fractions to a Common Denominator

Multiplying Polynomials

Algebraic Expressions

Remainder Theorem

Multiplying Algebraic Fractions

Polynomials

Ruffini’s Rule

How to Solve Polynomials

Binomial Formula

Polynomial Formulas

Algebra Formulas

Algebraic Fractions Worksheet

Polynomial Worksheet

Factoring Polynomials Worksheet

Monomial Worksheets

Binomial Worksheet And Solutions

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Square of Binomial Worksheet: Squared and Cubed Binomials

Key Formulas:

Worked Example

Practice Questions & Solutions

Theory

Dividing Algebraic Fractions

Operations with Monomials

Algebraic Identities

Monomials

Polynomial Roots

Factoring Polynomials

Dividing Polynomials

Algebraic Fractions

Adding or Subtracting Algebraic Fractions

Binomial Theorem

Reducing Algebraic Fractions to a Common Denominator

Multiplying Polynomials

Algebraic Expressions

Remainder Theorem

Multiplying Algebraic Fractions

Polynomials

Ruffini’s Rule

How to Solve Polynomials

Formulas

Binomial Formula

Polynomial Formulas

Algebra Formulas

Exercises

Algebraic Fractions Worksheet

Polynomial Worksheet

Factoring Polynomials Worksheet

Monomial Worksheets

Binomial Worksheet And Solutions

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