Show that 9x2 - 30x + 25 is a perfect square.

April 2, 2026Mathematics

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April 2, 2026

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(ax)^2 \pm 2(ax)(b) + b^2$.

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Question 17: Show that $9x^2 - 30x + 25$ is a perfect square.

A perfect square trinomial has the form $(ax \pm b)^2 = (ax)^2 \pm 2(ax)(b) + b^2$ . We can rewrite the given expression: $9x^2 - 30x + 25$ Step 1: Identify the square roots of the first and last terms. The first term is $9x^2$ , which is $(3x)^2$ . So, $a = 3x$ . The last term is $25$ , which is $(5)^2$ . So,

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Show that 9x^2 - 30x + 25 is a perfect square. A perfect square trinomial has the form (ax ± b)^2 = (ax)^2 ± 2(ax)(b) + b^2.

Asked on April 2, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on April 2, 2026

Here are the solutions to the legible questions from your image. Question 17: Show that 9x^2 - 30x + 25 is a perfect square. A perfect square trinomial has the form (ax ± b)^2 = (ax)^2 ± 2(ax)(b) + b^2. We can rewrite the given expression: 9x^2 - 30x + 25 Step 1: Identify the square roots of the first and last terms. The first term is 9x^2, which is (3x)^2. So, a = 3x. The last term is 25, which is (5)^2. So,