Perfect squares trinomials are those expressions which are found by squaring binomial expressions. The expansion of the given binomial expression, (5x - 6)² is (25x² + 36 - 60x).
What are perfect squares trinomials?
Perfect squares trinomials are those expressions which are found by squaring binomial expressions. A few examples of perfect squares trinomials are,
a² + b² + 2ab = (a + b)²
a² + b² - 2ab = (a - b)²
The expansion of the given binomial expression, (5x - 6)² can be done as,
(5x - 6)²
= (5x)² + 6² - 2(5x)(6)
= 25x² + 36 - 60x
Hence, The expansion of the given binomial expression, (5x - 6)² is (25x² + 36 - 60x).
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