What is expand (8x^3+12x^2+6x+1)(8x^3-36x^2=54x-27) ?

The solution to expand (8x^3+12x^2+6x+1)(8x^3-36x^2=54x-27) is 64x^6-288x^5=54x-27

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expand (8x^3+12x^2+6x+1)(8x^3-36x^2=54x-27)

expand

(8 x^{3} + 12 x^{2} + 6 x + 1) (8 x^{3} - 36 x^{2} = 54 x - 27)

64 x^{6} - 288 x^{5} = 54 x - 27

Solution steps

(8 x^{3} + 12 x^{2} + 6 x + 1) (8 x^{3} - 36 x^{2} = 54 x - 27)

= (8 x^{3} + 12 x^{2} + 6 x + 1) (8 x^{3} - 36 \cdot 54 = x^{2} x - 27)

Distribute parentheses

= 8 x^{3} \cdot 8 x^{3} + 8 x^{3} (- 36 x^{2} = 54 x) + 8 x^{3} (- 27) + 12 x^{2} \cdot 8 x^{3} + 12 x^{2} (- 36 x^{2} = 54 x) + 12 x^{2} (- 27) + 6 x \cdot 8 x^{3} + 6 x (- 36 x^{2} = 54 x) + 6 x (- 27) + 1 \cdot 8 x^{3} + 1 \cdot (- 36 x^{2} = 54 x) + 1 \cdot (- 27)

Apply minus-plus rules

+ (- a) = - a

8 \cdot 8 x^{3} x^{3} - 8 \cdot 36 x^{3} x^{2} = 54 x - 8 \cdot 27 x^{3} + 12 \cdot 8 x^{3} x^{2} - 12 \cdot 36 x^{2} x^{2} = 54 x - 12 \cdot 27 x^{2} + 6 \cdot 8 x^{3} x - 6 \cdot 36 x^{2} x = 54 x - 6 \cdot 27 x + 1 \cdot 8 x^{3} - 1 \cdot 36 x^{2} = 54 x - 1 \cdot 27

Simplify

8 \cdot 8 x^{3} x^{3} - 8 \cdot 36 x^{3} x^{2} = 54 x - 8 \cdot 27 x^{3} + 12 \cdot 8 x^{3} x^{2} - 12 \cdot 36 x^{2} x^{2} = 54 x - 12 \cdot 27 x^{2} + 6 \cdot 8 x^{3} x - 6 \cdot 36 x^{2} x = 54 x - 6 \cdot 27 x + 1 \cdot 8 x^{3} - 1 \cdot 36 x^{2} = 54 x - 1 \cdot 27 : 64 x^{6} - 288 x^{5} = 54 x - 27

64 x^{6} - 288 x^{5} = 54 x - 27

10 (2 + x sin (3 x))^{9} \cdot sin (3 x) + 3 x cos (3 x)

(- 3, - 1) y (2, 3)

a (3, 7) b (- 5, - 3)

\frac{1.7335 \cdot ( s + 7.91812 ) ( s + 0.001 )}{s}

(1 + tan^{4} (\frac{t}{12}))^{3}

What is expand (8x^3+12x^2+6x+1)(8x^3-36x^2=54x-27) ?
The solution to expand (8x^3+12x^2+6x+1)(8x^3-36x^2=54x-27) is 64x^6-288x^5=54x-27