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Popular >

expand (3r^2t-2)^2

Solution

expand

(3 r^{2} t - 2)^{2}

Solution

9 r^{4} t^{2} - 12 r^{2} t + 4

Solution steps

(3 r^{2} t - 2)^{2}

Apply Perfect Square Formula:

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

(3 r^{2} t - 2)^{2} = (3 r^{2} t)^{2} - 2 \cdot 3 r^{2} t \cdot 2 + 2^{2}

= (3 r^{2} t)^{2} - 2 \cdot 3 r^{2} t \cdot 2 + 2^{2}

Simplify

(3 r^{2} t)^{2} - 2 \cdot 3 r^{2} t \cdot 2 + 2^{2} : 9 r^{4} t^{2} - 12 r^{2} t + 4

= 9 r^{4} t^{2} - 12 r^{2} t + 4

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Frequently Asked Questions (FAQ)

What is expand (3r^2t-2)^2 ?
The solution to expand (3r^2t-2)^2 is 9r^4t^2-12r^2t+4