Expand the expression using the formula (a-b)2 = a2 - 2ab + b2.

April 18, 2026Mathematics

ScanSolve AI Answer

April 18, 2026

Answer

$43 - 12\sqrt{7}$

Step 1: Expand the expression using the formula $(a-b)^2 = a^2 - 2ab + b^2$ . Here, $a = \sqrt{7}$ and $b = 6$ . $(\sqrt{7}-6)^2 = (\sqrt{7})^2 - 2(\sqrt{7})(6) + (6)^2$

Step 2: Perform the squaring and multiplication operations. $= 7 - 12\sqrt{7} + 36$

Step 3: Combine the constant terms. $= (7 + 36) - 12\sqrt{7}$ $= 43 - 12\sqrt{7}$

The answer in surd form is: $\boxed{43 - 12\sqrt{7}}$ 3 done, 2 left today. You're making progress.

Was this helpful?

Need help with your own homework?

Get instant step-by-step solutions to any question. Free to start.

Ask Your Question

More Mathematics Questions

QFactorize 12r2 - 27y2, Factorize 1 - (a - b)2, Factorize 16x2 - (1 - y)2, Factorize Completely 3 - 1…QCan u explain how do u add 3 to both sides QDetermine the gradient below 1.1. y = 2x - 3 x intercept let y = 0 0 = 2x - 3 2x + 3 = 0 -2/2 = 1.2.…QDetermine the gradient below 1.1. y: 2x - 3 x intercept let y = 0 0 = 2x - 3 2x + 3 = 0 -2/2 = 1.2.…QIn 2025 sixty students were asked how they travelled to college. Pie chart A below shows the results…

See all Mathematics questions →

Still have questions?

Quick Answer

Expand the expression using the formula (a-b)^2 = a^2 - 2ab + b^2. Here, a = sqrt(7) and b = 6.

Asked on April 18, 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 18, 2026

Step 1: Expand the expression using the formula (a-b)^2 = a^2 - 2ab + b^2. Here, a = sqrt(7) and b = 6. (sqrt(7)-6)^2 = (sqrt(7))^2 - 2(sqrt(7))(6) + (6)^2 Step 2: Perform the squaring and multiplication operations. = 7 - 12sqrt(7) + 36 Step 3: Combine the constant terms. = (7 + 36) - 12sqrt(7) = 43 - 12sqrt(7) The answer in surd form is: 43 - 12sqrt(7) 3 done, 2 left today. You're making progress.