What is (3x-1)^3+(x-4)3^4 ?

The solution to (3x-1)^3+(x-4)3^4 is 27x^3-27x^2+90x-325

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simplify (3x-1)^3+(x-4)3^4

simplify

(3 x - 1)^{3} + (x - 4) 3^{4}

27 x^{3} - 27 x^{2} + 90 x - 325

Solution steps

(3 x - 1)^{3} + (x - 4) \cdot 3^{4}

3^{4} = 81

= (3 x - 1)^{3} + (x - 4) \cdot 81

= (3 x - 1)^{3} + 81 (x - 4)

Expand

(3 x - 1)^{3} : 27 x^{3} - 27 x^{2} + 9 x - 1

= 27 x^{3} - 27 x^{2} + 9 x - 1 + 81 (x - 4)

Expand

81 (x - 4) : 81 x - 324

= 27 x^{3} - 27 x^{2} + 9 x - 1 + 81 x - 324

Group like terms

= 27 x^{3} - 27 x^{2} + 9 x + 81 x - 1 - 324

Add similar elements:

9 x + 81 x = 90 x

= 27 x^{3} - 27 x^{2} + 90 x - 1 - 324

Subtract the numbers:

- 1 - 324 = - 325

= 27 x^{3} - 27 x^{2} + 90 x - 325

(m + 1)^{2} + 6

24 a^{3} b^{2} + 36 a^{2} b

\frac{1}{( 2 x + 5 + 2 x ^{2} + 5 x + 6 )}

sec^{2} (a) - tan^{2} (a)

7 x - 7 y

What is (3x-1)^3+(x-4)3^4 ?
The solution to (3x-1)^3+(x-4)3^4 is 27x^3-27x^2+90x-325