Question

simplify (2a + b - 3c)² - (2a - b + 3c)²

Answer 1

Answer:

This is your required answer.

Answer 2

Question:

simplify:(2a + b - 3c)² - (2a - b + 3c)²

What to do:

• Simplify

Solution:

(2a + b - 3c)² - (2a - b + 3c)²

= {2a + b - 3c + (2a - b + 3c)} {2a + b -3c - (2a -b + 3c)}

={2a + b - 3c + 2a - b + 3c } {2a + b -3c -2a + b -3c }

Used formula:

$a ^ 2 - b ^ 2 = (a + b)(a - b)$

Additional information:

$(a + b) ^ 2 = a ^ 2 + 2ab + b ^ 2$

$(a - b) ^ 3 = a ^ 3 - 3ab * (a - b) - b ^ 3\\(a - b) ^ 2 = a ^ 2 - 2ab + b ^ 2\\(a + b) ^ 3 = a ^ 3 + 3ab * (a + b) + b ^ 3\\2(a ^ 2 + b ^ 2) = (a + b) ^ 2 + (a - b) ^ 2 \\(a - a)(a - b) = x ^ 2 - x(a + b) + ab$

$4ab = (a + b) ^ 2 - (a + b) ^ 2$

$a ^ 2 + b ^ 2 = (a + b) ^ 2 - 2ab$

$(x + a)(a - b) = x ^ 2 + x(a - b) - ab$

$a ^ 2 + b ^ 2 = (a - b) ^ 2 + 2ab$

$(a + b + c) ^ 2 = a ^ 2 + b ^ 2 + c ^ 2 + 2ab + 2bc + 2ac$