About Difference of Squares Formula
This is one of the most used algebraic formulas for expanding a term of the form a2 - b2. In other words, it's an algebraic form of an equation for equating the discrepancies between two square numbers. This formula can be used to simplify a complicated equation. You can get all Maths formulas on one-page visit the Maths Formulas section of HT.
Difference of Squares Calculation Formula
The difference of squares formula is as follows:
a2 − b2 = (a − b)(a + b) or a2 − b2 = (a + b) (a − b)
Proof:
An equation taken: 132 – 82
According to the difference of squares formula,
a2 − b2 = (a + b) (a − b)
Here, a = 13; b = 8;
LHS = a2 − b2
= 132 − 82
= 169 – 64
= 105
RHS = (a + b)(a − b)
= (13 + 8)(13 – 8) = 21 × 5 = 105
Thus, LHS = RHS
Solved example of Difference of Squares Formula
Example: What is the value of 102 − 42?
Sol: The formula for difference of squares is, a2 − b2 = (a + b)(a − b)
From the given expression, we have
a = 10 ; b = 4;
a2 − b2 = 102 − 42
= (10 + 4) (10 − 4)
= 14 × 6
= 84
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