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Popular >

expand (4t^3-5)^2

Solution

expand

(4 t^{3} - 5)^{2}

Solution

16 t^{6} - 40 t^{3} + 25

Solution steps

(4 t^{3} - 5)^{2}

Apply Perfect Square Formula:

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

(4 t^{3} - 5)^{2} = (4 t^{3})^{2} - 2 \cdot 4 t^{3} \cdot 5 + 5^{2}

= (4 t^{3})^{2} - 2 \cdot 4 t^{3} \cdot 5 + 5^{2}

Simplify

(4 t^{3})^{2} - 2 \cdot 4 t^{3} \cdot 5 + 5^{2} : 16 t^{6} - 40 t^{3} + 25

= 16 t^{6} - 40 t^{3} + 25

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Frequently Asked Questions (FAQ)

What is expand (4t^3-5)^2 ?
The solution to expand (4t^3-5)^2 is 16t^6-40t^3+25