8. In the expression (a+b)^wedge 2 what is the expanded form? a. a^wedge 2+b^wedge 2 b a^wedge 2+2ab+b^wedge 2 C. 2a+2b d. ab+a+b

The correct answer is b. $a^{\wedge }2+2ab+b^{\wedge }2$.<br /><br />To expand the expression $(a+b)^{\wedge }2$, we can use the formula $(a+b)^2 = a^2 + 2ab + b^2$. This formula is derived from the distributive property of multiplication over addition.<br /><br />In this formula, $a^2$ represents the square of the first term, $2ab$ represents twice the product of the two terms, and $b^2$ represents the square of the second term.<br /><br />Therefore, the expanded form of $(a+b)^{\wedge }2$ is $a^{\wedge }2+2ab+b^{\wedge }2$.