Question

Como resolver? (5x-y)³ -(5x-y)³-(5x-y)³

Answer 1

1953125=5^9

^ igual elevado a potência

¹ ele mesmo ² ao quadrado ³ ao cubo ^4 quadruplo ^5 quíntuplo ^6 sêxtuplo

(5x-y)³ = (5x -y) * (5x -y) * (5x -y)

25x² -5xy -5xy + y² * (5x -y)

25x² -10xy +y² *(5x -y)

125x³ -25x²y -50x²y +10xy² +5xy² -y³

125x³ -75x²y +15xy² - y³

(5x-y)³ * - (5x-y)³

125x³ -75x²y +15xy² - y³ * -125x³ +75x²y -15xy² + y³

-15625x^6 +9375x^5y  -1875x^4y² 125x³y³ +9375x^5y -5625x^4y² +1125x³y³ -75x²y^4

-1875x^4y² +1125x³y³ -225x²y^4 +15xy^5 +125x³y³ -75x²y^4 +15xy^5 -y^6

(-15625x^6 + 18750x^5y -9375x^4y² +2500x³y³ -375x²y^4 + 30xy^5 -y^6) *  ( -125x³ +75x²y -15xy² + y³)

+1953125x^9 -1171875x^8y + 234375x^7y² -15625x^6y³

-2343750x^8y  + 1406250x^7y² -281250x^6y³ +18750x^5y^4

+1171875x^7y² -703125x^6y³ +140625x^5y^4 -9375x^4y^5

-312500x^6y³ + 187500x^5y^4 -37500x^4y^5 + 2500x³y^6

+46875x^5y^4 -28125x^4y^5 +5625x³y^6 -375x²y^7

-3750x^4y^5 +2250x³y^6 -450x²y^7 +30xy^8

+125x³y^6 -75x²y^7 +15xy^8 -y^9

= +1953125x^9 -3515625x^8y +2812500x^7y² -1312500x^6y³ +393750x^5y^4 -78750x^4y^5 +10500x³y^6 -900x²y^7 +45xy^8 -y^9

não sei continuar nem se fiz certo