Question
Simplify the expression
18b2a2−8b2c2
Evaluate
2b2(3a+2c)(3a−2c)
Multiply the terms
More Steps

Evaluate
2b2(3a+2c)
Apply the distributive property
2b2×3a+2b2×2c
Multiply the numbers
6b2a+2b2×2c
Multiply the numbers
6b2a+4b2c
(6b2a+4b2c)(3a−2c)
Apply the distributive property
6b2a×3a−6b2a×2c+4b2c×3a−4b2c×2c
Multiply the terms
More Steps

Evaluate
6b2a×3a
Multiply the numbers
18b2a×a
Multiply the terms
18b2a2
18b2a2−6b2a×2c+4b2c×3a−4b2c×2c
Multiply the numbers
18b2a2−12b2ac+4b2c×3a−4b2c×2c
Multiply the numbers
18b2a2−12b2ac+12b2ca−4b2c×2c
Multiply the terms
More Steps

Evaluate
4b2c×2c
Multiply the numbers
8b2c×c
Multiply the terms
8b2c2
18b2a2−12b2ac+12b2ca−8b2c2
Add the terms
More Steps

Evaluate
−12b2ac+12b2ca
Rewrite the expression
−12b2ac+12b2ac
Collect like terms by calculating the sum or difference of their coefficients
(−12+12)b2ac
Add the numbers
0×b2ac
Any expression multiplied by 0 equals 0
0
18b2a2+0−8b2c2
Solution
18b2a2−8b2c2
Show Solution
