Question

expand the following (p+2)²​

Answer 1

this is answer for the following question

Answer 2

The expanded form of the given expression is

${p}^{2} + 4p + 4$

Given:

The given expression is (p+2)²

To Find:

we need to expand the given expression.

Solution:

To solve this problem, we need to know the formula for (a+b)².

The formula is

${(a + b})^{2} = {a}^{2} + {b}^{2} + 2(a)(b)$

Compare the given expression with the formula

here, a = p and b = 2.

${(p + 2)}^{2} = {p}^{2} + {2}^{2} + 2(p)(2)$

${(p + 2)}^{2} = {p}^{2} + 4 + 4p$

${(p + 2)}^{2} = {p}^{2} + 4p + 4$

Therefore, the expanded form is

${p}^{2} + 4p + 4$

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