What is the result of difference of two squares?

What is the result of difference of two squares?

The Difference of Two Squares theorem tells us that if our quadratic equation may be written as a difference between two squares, then it may be factored into two binomials, one a sum of the square roots and the other a difference of the square roots. This is sometimes shown by the expression A² – B² = (A + B) (A – B).

What is the difference of two squares in mathematics?

The difference of two squares means one squared term subtract another squared term. For example, x 2 − 9 would be the difference of two squares as is a squared term ( has been multiplied by itself) and 9 is a square number ( 3 × 3 ).

Why is it called difference of two squares?

where one perfect square is subtracted from another, is called a difference of two squares. It arises when (a − b) and (a + b) are multiplied together. This is one example of what is called a special product.

Why is it called the difference of 2 squares?

How do you do the difference of squares step by step?

To factor a difference of squares, the following steps are undertaken: Check if the terms have the greatest common factor (GCF) and factor it out. Remember to include the GCF in your final answer. Determine the numbers that will produce the same results and apply the formula: a2– b2 = (a + b) (a – b) or (a – b) (a + b)

How do you know the difference of squares?

A binomial is a Difference of Squares if both terms are perfect squares. Recall we may have to factor out a common factor first. If we determine that a binomial is a difference of squares, we factor it into two binomials. The first being the square root of the first term minus the square root of the second term.

Why is it called the difference of two squares?

What is the difference of two squares in math?

a 2 – b 2 When we are subtracting a squared term from another squared term we can use the difference of two squares method. Square numbers are sometimes called perfect squares. An example of an expression we can factorise using the difference of two squares might be x 2 – 4 or 4x 2 – 25.

How to factor an expression that is the difference of two squares?

Therefore to factorise an expression that is the difference of two squares, we say that: Look out for square numbers. Both terms include a square number. Take out a common factor first.

How to factor A binomial from the difference of two squares?

In fact, you can go straight from the difference of two squares to its factors. Example 2: Factor the binomial below. At first, it appears that this is not a difference of two squares. What we need is to try rewriting it in the form that is easily recognizable. 4 {x^2} 4×2? That should be Example 3: Factor the binomial below.

Are there any difference of two squares questions in Edexcel?

There are also difference of two squares questions and an extensive worksheet based on Edexcel, AQA and OCR exam questions, along with further guidance on where to go next if you’re still stuck. What is the difference of two squares?