Q. Which of the following is equivalent to (a3)(3+a3) ?Choose 1 answer:(A) a+1(B) a(C) 2(D) 21
Simplify fractions: Simplify the numerator and the denominator.The expression given is a33+a3. We can start by simplifying the numerator and the denominator separately.The numerator is 3+a3, which can be written as a single fraction by finding a common denominator.The denominator is a3, which is already a single fraction.
Combine terms: Combine the terms in the numerator.To combine 3 and a3, we need a common denominator, which is 'a'. So we convert 3 to a fraction with the same denominator:3=a3aNow we can add the two fractions:a3a+a3=a3a+3
Rewrite expression: Rewrite the original expression with the simplified numerator.Now that we have the simplified numerator, we can rewrite the original expression as:a(3a+3)÷a3
Divide fractions: Divide the fractions.To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:a3a+3×3a
Simplify expression: Simplify the expression.When we multiply the fractions, we can cancel out the 'a' in the numerator of the first fraction and the 'a' in the denominator of the second fraction:(3a+3)/3
Divide terms: Divide each term in the numerator by the denominator.Now we divide each term in the numerator by 3:(3a/3)+(3/3)This simplifies to:a+1
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