Questions: (x+h)=(x+h)^2+2(x+h)-3.

Solution Steps

To solve the given expression, we need to expand and simplify the expression \((x+h)^2 + 2(x+h) - 3\). This involves applying the formula for the square of a binomial \((a \pm b)^2 = a^2 \pm 2ab + b^2\) and then combining like terms.

We start with the expression \((x+h)^2 + 2(x+h) - 3\). Using the binomial expansion, we have:

\[ (x+h)^2 = x^2 + 2xh + h^2 \]

Thus, the expression becomes:

\[ x^2 + 2xh + h^2 + 2(x+h) - 3 \]

Next, we simplify the expression by combining like terms. The expression can be rewritten as:

\[ x^2 + 2xh + h^2 + 2x + 2h - 3 \]

Now, we can arrange the terms in a standard polynomial form:

\[ h^2 + 2xh + 2h + x^2 + 2x - 3 \]

Final Answer