What is expand (3x^2-5)^3 ?

The solution to expand (3x^2-5)^3 is 27x^6-135x^4+225x^2-125

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expand (3x^2-5)^3

expand

(3 x^{2} - 5)^{3}

27 x^{6} - 135 x^{4} + 225 x^{2} - 125

Solution steps

(3 x^{2} - 5)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

(3 x^{2})^{3} - 3 (3 x^{2})^{2} \cdot 5 + 3 \cdot 3 x^{2} \cdot 5^{2} - 5^{3} : 27 x^{6} - 135 x^{4} + 225 x^{2} - 125

= 27 x^{6} - 135 x^{4} + 225 x^{2} - 125

(7 x^{4}) (- 3 x^{2})

r^{0}

sec (x) cos (x) - (sin (x))^{2}

(8)^{\frac{2}{3}} (16)^{\frac{1}{4}}

\frac{5}{44} \cdot 25 \frac{2}{3} - 2 \frac{1}{4}

What is expand (3x^2-5)^3 ?
The solution to expand (3x^2-5)^3 is 27x^6-135x^4+225x^2-125