I have to do step by step why the answer of (5x - 1) (5x - 1) is 25x^2 - 10x + 1. How do i do it?

(5x - 1) (5x - 1)

Ans: 25x^2 - 10x + 1

(5x - 1)(5x - 1) = 25x² - 10x + 1

Step-by-step explanation:

Let us solve the question step by step

We need to find the product of (5x - 1) and (5x - 1)

∵ 5 × 5 = 25

∵ x × x = ⇒ multiply same base means add their powers

∴ x × x = x²

∴ 5x × 5x = 25x²

∵ 5x × -1 = (5 × -1)x

∴ 5x × -1 = -5x

∵ -1 × 5x = (-1 × 5)x

∴ -1 × 5x = -5x

∵ -1 × -1 ⇒ (-)(-) = (+)

∴ -1 × -1 = 1

∵ (5x - 1)(5x - 1) = 25x² + -5x + -5x + 1

∵ -5x and -5x are like term, then add their coefficients

∵ -5x + -5x = (-5 + -5)x

∴ -5x + -5x = -10x

∴ (5x - 1)(5x - 1) = 25x² + -10x + 1

∵ (+)(-) = (-)

∴ (5x - 1)(5x - 1) = 25x² - 10x + 1

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step-by-step explanation: