What is expand a^2b^2+2b(a^2+1)+a^2-b^2-1 ?

The solution to expand a^2b^2+2b(a^2+1)+a^2-b^2-1 is a^2b^2+2a^2b+2b+a^2-b^2-1

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expand a^2b^2+2b(a^2+1)+a^2-b^2-1

expand

a^{2} b^{2} + 2 b (a^{2} + 1) + a^{2} - b^{2} - 1

a^{2} b^{2} + 2 a^{2} b + 2 b + a^{2} - b^{2} - 1

Solution steps

a^{2} b^{2} + 2 b (a^{2} + 1) + a^{2} - b^{2} - 1

Apply the distributive law:

a (b + c) = ab + a c

2 b (a^{2} + 1) = 2 b a^{2} + 2 b \cdot 1

= a^{2} b^{2} + 2 b a^{2} + 2 b \cdot 1 + a^{2} - b^{2} - 1

Simplify

2 b a^{2} + 2 b \cdot 1 : 2 a^{2} b + 2 b

= a^{2} b^{2} + 2 a^{2} b + 2 b + a^{2} - b^{2} - 1

(3 p^{3})^{4}

(a^{- 3}) (a^{4})

a^{2} b^{2} + a^{3} b^{3} + a^{2} b^{4}

x^{4} + 15 x^{2} + 36

\frac{n ( n + 1 )}{2 \cdot ( n \frac{( n + 1 )}{2} ) ^{2}}

What is expand a^2b^2+2b(a^2+1)+a^2-b^2-1 ?
The solution to expand a^2b^2+2b(a^2+1)+a^2-b^2-1 is a^2b^2+2a^2b+2b+a^2-b^2-1