Question

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

Answer 1

ав+в²-(a³-2а²+ав²-2в²)

ав+в²-а³+2а²-ав²+2в²

ав+3в²-а³+2а²-ав²

Answer 2

1) раскрываешь скобки

ab+b^2-(a^3-2a^2+ab^2-2b^2) = ab+b^2-a^3+2a^2-ab^2+2b^2

2) приводишь подобные

ab+3b^2-a^3+2a^2-ab^2  

как-то так, я думаю

Answer 3

To simplify the expression (a+b)b - (a^2+b^2)(a-2), we can expand the terms and then combine like terms. Let's go step by step:

1. Distribute the b to the terms inside the first parentheses: (a+b)b = ab + b^2

2. Distribute the (a-2) to the terms inside the second parentheses: (a^2+b^2)(a-2) = a^3 - 2a^2 + ab^2 - 2b^2

Now, let's substitute the results back into the original expression:

Original expression: (a+b)b - (a^2+b^2)(a-2)

Substituting the distributed terms: = (ab + b^2) - (a^3 - 2a^2 + ab^2 - 2b^2)

Now, let's combine like terms:

= ab + b^2 - a^3 + 2a^2 - ab^2 + 2b^2

Finally, let's rearrange the terms:

= -a^3 + 2a^2 + ab - ab^2 + b^2 + 2b^2

Combining like terms again:

= -a^3 + 2a^2 + ab - ab^2 + 3b^2

So, the simplified form of the expression (a+b)b - (a^2+b^2)(a-2) is -a^3 + 2a^2 + ab - ab^2 + 3b^2.