Which of the following is equivalent to ≤ft(a+b/2)²?

Correct Answer is : a2+ab+b24a²+ab+b²/4a2+ab+4b2

Correct Answer is : a2+ab+b24a²+ab+b²/4a2+ab+4b2

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SAT Mathematics Practice Test 6

Question : 15 of 58

Marks: +1, -0

\left(a+\frac{b}{2}\right)^2

Solution:

The expression can be rewritten as

\left(a+\frac{b}{2}\right)\left(a+\frac{b}{2}\right)

.Using the distributive property, the expression yields

\left(a+\frac{b}{2}\right)\left(a+\frac{b}{2}\right)=a^2+\frac{ab}{2}+\frac{ab}{2}+\frac{b^2}{4}

Combining like termsgives

a^2+ab+\frac{b^2}{4}

Choices A, B, and C are incorrect and may result from errors using the distributive property on the given expression or combining like terms.

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