What is (2a+2b-sqrt(2)c)(-2a+2b-sqrt(2)c) ?

The solution to (2a+2b-sqrt(2)c)(-2a+2b-sqrt(2)c) is -4a^2+4b^2+2c^2-4sqrt(2)bc

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

simplify

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

- 4 a^{2} + 4 b^{2} + 2 c^{2} - 42 b c

Solution steps

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

Distribute parentheses

= 2 a (- 2 a) + 2 a \cdot 2 b + 2 a (- 2 c) + 2 b (- 2 a) + 2 b \cdot 2 b + 2 b (- 2 c) - 2 c (- 2 a) - 2 c \cdot 2 b - 2 c (- 2 c)

Simplify

2 a (- 2 a) + 2 a \cdot 2 b + 2 a (- 2 c) + 2 b (- 2 a) + 2 b \cdot 2 b + 2 b (- 2 c) - 2 c (- 2 a) - 2 c \cdot 2 b - 2 c (- 2 c) : - 4 a^{2} + 4 b^{2} + 2 c^{2} - 42 b c

= - 4 a^{2} + 4 b^{2} + 2 c^{2} - 42 b c

(1 + u) d v

\frac{( 15 x ^{2} + 96 x + 128 )}{4 ( x + 4 ) ^{(\frac{3}{2})}}

\frac{15 x ^{2} - 4 15}{15 ( x + 2 )}

(- 6 sin (t) - 3 t cos (t)) \cdot (3 cos (t) - 3 t sin (t))

\frac{3 s ^{2} + 9 s + 12}{( s + 2 ) \cdot ( s ^{2} + 5 s + 11 )}

What is (2a+2b-sqrt(2)c)(-2a+2b-sqrt(2)c) ?
The solution to (2a+2b-sqrt(2)c)(-2a+2b-sqrt(2)c) is -4a^2+4b^2+2c^2-4sqrt(2)bc