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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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$\left(\sqrt{a}\sqrt{b}+3\right)\left(\sqrt{a}\sqrt{b}-3\right)$
Learn how to solve special products problems step by step online. Solve the product ((ab)^1/2+3)((ab)^1/2-3). The power of a product is equal to the product of it's factors raised to the same power. The sum of two terms multiplied by their difference is equal to the square of the first term minus the square of the second term. In other words: (a+b)(a-b)=a^2-b^2.. The power of a product is equal to the product of it's factors raised to the same power. Simplify \left(\sqrt{a}\right)^2 using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals \frac{1}{2} and n equals 2.