(d+3)^2

Jasonbradley

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Jun 16, 2024

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Expanding (d + 3)^2

The expression (d + 3)^2 represents the square of the binomial (d + 3). To expand this expression, we can use the FOIL method or the square of a binomial formula.

Using the FOIL Method

• First: Multiply the first terms of each binomial: d * d = d^2
• Outer: Multiply the outer terms of the binomials: d * 3 = 3d
• Inner: Multiply the inner terms of the binomials: 3 * d = 3d
• Last: Multiply the last terms of each binomial: 3 * 3 = 9

Adding all the results together: d^2 + 3d + 3d + 9

Simplifying the expression: d^2 + 6d + 9

Using the Square of a Binomial Formula

The square of a binomial formula states that: (a + b)^2 = a^2 + 2ab + b^2

Applying this to our expression:

• a = d
• b = 3

Substituting the values: d^2 + 2(d)(3) + 3^2

Simplifying: d^2 + 6d + 9

Therefore, the expanded form of (d + 3)^2 is d^2 + 6d + 9.