Question

multiple-choice question
(x+1)(x+1) can be simplified to
(x-1)^2
(x+1)^2
rewatch

Explanation:

Step1: Recall the exponent rule for repeated multiplication

When a number or expression is multiplied by itself, it can be written as a square. For example, \(a\times a = a^{2}\). Here, the expression is \((x + 1)(x + 1)\), which is \((x + 1)\) multiplied by itself.

Step2: Apply the exponent rule

Using the rule \(a\times a=a^{2}\) where \(a=(x + 1)\), we get \((x + 1)(x + 1)=(x + 1)^{2}\). The option \((x - 1)^{2}\) would be equivalent to \((x - 1)(x - 1)\), which is not the same as \((x + 1)(x + 1)\).

Answer:

B. \((x + 1)^{2}\) (assuming the second option is labeled as B, with the first option being A. \((x - 1)^{2}\))