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Popular >

simplify (3^x+3^x)^2

Solution

simplify

(3^{x} + 3^{x})^{2}

Solution

4 \cdot 9^{x}

Solution steps

(3^{x} + 3^{x})^{2}

Add similar elements:

3^{x} + 3^{x} = 2 \cdot 3^{x}

= (2 \cdot 3^{x})^{2}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(2 \cdot 3^{x})^{2} = 2^{2} (3^{x})^{2}

= 2^{2} (3^{x})^{2}

2^{2} = 4

= 4 (3^{x})^{2}

Apply exponent rule:

(a^{b})^{c} = a^{b c}, a \geq 0

(3^{x})^{2} = 3^{x \cdot 2}

= 4 \cdot 3^{x \cdot 2}

Simplify

3^{x \cdot 2} : 9^{x}

= 4 \cdot 9^{x}

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Frequently Asked Questions (FAQ)

What is (3^x+3^x)^2 ?
The solution to (3^x+3^x)^2 is 4*9^x