What is (2a+6b)(6b-2a)-(2a+6b)^2 ?

The solution to (2a+6b)(6b-2a)-(2a+6b)^2 is -8a^2-24ab

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simplify (2a+6b)(6b-2a)-(2a+6b)^2

simplify

(2 a + 6 b) (6 b - 2 a) - (2 a + 6 b)^{2}

- 8 a^{2} - 24 ab

Solution steps

(2 a + 6 b) (6 b - 2 a) - (2 a + 6 b)^{2}

Expand

(2 a + 6 b) (6 b - 2 a) : 36 b^{2} - 4 a^{2}

= 36 b^{2} - 4 a^{2} - (2 a + 6 b)^{2}

Expand

- (2 a + 6 b)^{2} : - 4 a^{2} - 24 ab - 36 b^{2}

= 36 b^{2} - 4 a^{2} - 4 a^{2} - 24 ab - 36 b^{2}

Add similar elements:

- 4 a^{2} - 4 a^{2} = - 8 a^{2}

= 36 b^{2} - 8 a^{2} - 24 ab - 36 b^{2}

Group like terms

= 36 b^{2} - 36 b^{2} - 8 a^{2} - 24 ab

Add similar elements:

36 b^{2} - 36 b^{2} = 0

= - 8 a^{2} - 24 ab

2 \times (2)

x^{3} \geq 4 x

t, t x = x^{B}

\frac{3 t}{4} - \frac{t}{2} = 1

r^{2} - 9 r - 38 = - 9

What is (2a+6b)(6b-2a)-(2a+6b)^2 ?
The solution to (2a+6b)(6b-2a)-(2a+6b)^2 is -8a^2-24ab