Quadratic Expressions

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An algebraic expression having the degree of '2' is called a quadratic expression. By 'degree', we mean the highest exponen...

Introduction to Quadratics

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Quadratics is the branch of mathematics which deals with factoring quadratic expressions, solving quadratics equations and graphing quadrat...

Convert quadratic function from standard to vertex form

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The standard form of a quadratic equation is as follows: `ax^2 + bx + c = 0` It's vertex form is as follows: `a(x- h)^2 + k = 0` ...

Favorable Outcomes

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Favorable outcomes in probability are those results of an experiment which you want. Favorable outcomes of a coin Suppose two friends to...

Solved Examples: Difference of Cubes

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Solved Example 1 Factor `x^3 - 8` Solution Rewrite 8 as `2^3`, `x^3 - 2^3` Comparing with `a^3 - b^3`, we get `a = x` and `b ...

Worksheet: Difference of Squares

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Instructions Click on Show Answer button to show a particular answer. Click on the answer itself to hide it. Use the buttons at the bott...

Solved Examples: Difference of Squares

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Solved Example 1 Factor `x^2 - 4` Solution Rewrite 4 as `2^2` `x^2 – 4 = x^2 – 2^2` Comparing with `a^2 – b^2`, we get `...

Worksheet: Cube of a Difference

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Instructions Click on Show Answer button to show a particular answer. Click on the answer itself to hide it. Use the buttons at the bott...

Solved Examples: Cube of a Difference `(a - b)^3`

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Solved Example 1 Expand `(x -2y)^3` Solution Step 1: Compare the given expression with `(a - b)^3` Comparing  `(x - 2y)^3` with `(a...

Worksheet: Sum of a Cube `(a + b)^3`

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Instructions Click on Show Answer button to show a particular answer. Click on the answer itself to hide it. Use the buttons at the bott...