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Popular >

expand (2^a-3b)^2

Solution

expand

(2^{a} - 3 b)^{2}

Solution

4^{a} - 6 b \cdot 2^{a} + 9 b^{2}

Solution steps

(2^{a} - 3 b)^{2}

Apply Perfect Square Formula:

(a - b)^{2} = a^{2} - 2 ab + b^{2}

(2^{a} - 3 b)^{2} = (2^{a})^{2} - 2 \cdot 2^{a} \cdot 3 b + (3 b)^{2}

= (2^{a})^{2} - 2 \cdot 2^{a} \cdot 3 b + (3 b)^{2}

Simplify

(2^{a})^{2} - 2 \cdot 2^{a} \cdot 3 b + (3 b)^{2} : 4^{a} - 6 b \cdot 2^{a} + 9 b^{2}

= 4^{a} - 6 b \cdot 2^{a} + 9 b^{2}

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Frequently Asked Questions (FAQ)

What is expand (2^a-3b)^2 ?
The solution to expand (2^a-3b)^2 is 4^a-6b*2^a+9b^2