Solve 2b^2(3a+2c)(3a-2c)

Evaluate

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

Multiply the terms

More Steps

(6 b^{2} a + 4 b^{2} c) (3 a - 2 c)

Apply the distributive property

6 b^{2} a \times 3 a - 6 b^{2} a \times 2 c + 4 b^{2} c \times 3 a - 4 b^{2} c \times 2 c

Multiply the terms

More Steps

18 b^{2} a^{2} - 6 b^{2} a \times 2 c + 4 b^{2} c \times 3 a - 4 b^{2} c \times 2 c

Multiply the numbers

18 b^{2} a^{2} - 12 b^{2} a c + 4 b^{2} c \times 3 a - 4 b^{2} c \times 2 c

Multiply the numbers

18 b^{2} a^{2} - 12 b^{2} a c + 12 b^{2} c a - 4 b^{2} c \times 2 c

Multiply the terms

More Steps

18 b^{2} a^{2} - 12 b^{2} a c + 12 b^{2} c a - 8 b^{2} c^{2}

Add the terms

More Steps

18 b^{2} a^{2} + 0 - 8 b^{2} c^{2}

Solution

18 b^{2} a^{2} - 8 b^{2} c^{2}

Simplify the expression