Divide: 25x^4-75x^3y+90xy^3-36y^4 by 5x^2-6y^2
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Answer:
5x² + 6y² -15xy
25x⁴ - 75x³y + 90xy³ - 36y⁴ = (5x² - 6y²)(5x² + 6y² -15xy)
Step-by-step explanation:
Divide: 25x^4-75x^3y+90xy^3-36y^4 by 5x^2-6y^2
5x² + 6y² -15xy
5x² - 6y² | 25x⁴ - 75x³y + 90xy³ - 36y⁴ |
25x⁴ - 30x²y²
30x²y² - 75x³y + 90xy³ - 36y⁴
30x²y² -36y⁴
- 75x³y + 90xy³
-15x³y + 90xy³
0
5x² + 6y² -15xy
25x⁴ - 75x³y + 90xy³ - 36y⁴ = (5x² - 6y²)(5x² + 6y² -15xy)
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