Perfect Square Trinomial Calculator Online

Perfect square trinomial calculator is used to represent the binomial expression into perfect square form of a trinomial. By using this calculator, when a binomial expression is given we can easily convert it into perfect square of its trinomial. Whenever, we need to multiply binomial expression by itself, the obtained trinomial is called as perfect square trinomial.

Factoring perfect trinomials we can remember the formulas listed below.

(a+b)²= a² + 2ab + b²

(a-b)² = a² - 2ab + b²

Example 1: Convert the given perfect square trinomial equation into factored form.

x²+10x+25

Solution:

Given equation is x²+10x+25

Here we can use this formula a²+2ab+b² = (a+b)²

Compare the trinomial equation with the formula to determine the factors

First term is a²=x², form this we can get a=x

Last term is b² = 25, form this we can get b =5

Put the plus symbol in between them with second power exponent.

Answer is (x+5)² or (x+5) (x+5)

Example 2: Convert the given perfect square trinomial equation into factored form.

4x²-24x+36

Solution:

Given equation is 4x²-24x+36

Here we can use this formula a²-2ab+b² = (a-b)²

Compare the trinomial equation with the formula to determine the factors

First term is a²=4x², form this we can get a=2x

Last term is b² = 36, form this we can get b =6

Put the minus symbol in between them with second power exponent.

Answer is (2x-6)² or (2x-6) (2x-6).

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Perfect Square Trinomial Calculator

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