![]() ![]() We notice that this is of the form, a 2 - b 2 = (a + b)(a - b) Let us see an example to understand.Įxample 1: f(x) = 9x 2 - 4 (difference of 2 perfect squares) Step 5: The roots of the given quadratic equation can be obtained and hence, we can form the factors of the equation.Īnother algebraic identity which is used for factoring quadratics is a 2 - b 2 = (a + b)(a - b).Obtained equation is (x + b/2a) 2 = -c/a + (b/2a) 2 Step 4: Now the LHS of the quadratic equation x 2 + (b/a) x + (b/2a) 2 = -c/a + (b/2a) 2 can be written as a complete square and simplify the RHS, if necessary.Step 3: Add the square of (b/2a) to both the sides of quadratic equation x 2 + (b/a) x = -c/a. ![]() Obtained equation is x 2 + (b/a) x = -c/a
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