Solve (a-6b-1)(a+6b+1)

$$( a - 6 b - 1 ) ( a + 6 b + 1 )$$

Evaluate

$$-\left(6b+1\right)^{2}+a^{2}$$

Solution Steps

Apply the distributive property by multiplying each term of a-6b-1 by each term of a+6b+1.

$$a^{2}+6ab+a-6ba-36b^{2}-6b-a-6b-1$$

Combine 6ab and -6ba to get 0.

$$a^{2}+a-36b^{2}-6b-a-6b-1$$

Combine a and -a to get 0.

$$a^{2}-36b^{2}-6b-6b-1$$

Combine -6b and -6b to get -12b.

$$a^{2}-36b^{2}-12b-1$$

Expand

$$a^{2}-36b^{2}-12b-1$$

Solution Steps

Apply the distributive property by multiplying each term of a-6b-1 by each term of a+6b+1.

$$a^{2}+6ab+a-6ba-36b^{2}-6b-a-6b-1$$

Combine 6ab and -6ba to get 0.

$$a^{2}+a-36b^{2}-6b-a-6b-1$$

Combine a and -a to get 0.

$$a^{2}-36b^{2}-6b-6b-1$$

Combine -6b and -6b to get -12b.

$$a^{2}-36b^{2}-12b-1$$