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The power of a product is equal to the product of it's factors raised to the same power
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$\left(3a+1\right)^2=\left(a-1\right)^2+9a^2$
Learn how to solve differential equations problems step by step online. Solve the quadratic equation (3a+1)^2=(a-1)^2+(3a)^2. The power of a product is equal to the product of it's factors raised to the same power. A binomial squared (difference) is equal to the square of the first term, minus the double product of the first by the second, plus the square of the second term. In other words: (a-b)^2=a^2-2ab+b^2. Combining like terms a^2 and 9a^2. Expand \left(3a+1\right)^2.