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  • 1,(-a+b^2)(-a-b^2)

    1,(-a+b^2)(-a-b^2)
    2,(-1/2x+3y)(-3y-1/2x)
    3,(a^2+5ab)(5ab-a^2)
    4,(a^n+b)(b-a^n)
    5,(a+1)(a-1)(1+a^2)
    6,1225-75^2
    7,51*49
    8,(-1001)*(-999)
    9,(2x-3)(-2x-3)-x(x-1)
    10,(a-b+c)(a+b-c)
    11,(x+y)(x-y)(-x+y)(-x-y)
    12,(2m+n)^2
    13,(-2m+n)^2
    14,(-1/3x-3y)^2
    15,(a+b)^2-(a-b)^2
    16,(2x+y)^2+(y-2x)^2
    17,999^2
    18,(x+y)(x-y)(x^2-y^2)
    (x^2-2y)^2-(x^2+2y)^2
    最后一題是19,
    數(shù)學(xué)人氣:576 ℃時(shí)間:2020-07-05 02:20:20
    優(yōu)質(zhì)解答
    1. = (-a)² - (b²)² = a² - b⁴
    2. = (-x/2)² - (3y)² = x²/4 - 9y²
    3. = (5ab)² - (a²)² = 25a²b² - a⁴ = a²(25b² - a²)
    4. = b² - (aⁿ)² = b² - a²ⁿ
    5. = (a² - )(a² + 1) = a⁴ - 1
    6. = 35² - 75² = (35 + 75)(35 - 75) = 110*(-40) = -4400
    7. = (50 + 1)(50 - 1) =50² - 1² = 2500 - 1 = 2499
    8. = 1001*999 = (1000 + 1)(1000 - 1) = 1000² - 1 = 1000000 - 1 = 999999
    9. = (-3)² - (2x)² - x² + 1 = 9 - 4x² - x² + 1 = 10 - 5x²
    10. = [a - (b - c)][a + (b - c)] = a² - (b - c)² = a² - b² + 2bc - c²
    11. = (x² - y²)[(-x)² - y²] = (x² - y²)² = x⁴ - 2x²y² + y⁴
    12. = 4m² + 4mn + n²
    13. = 4m² - 4mn + n²
    14. = (x/3 + 3y)² = x²/9 + 2xy + 9y²
    15. = [(a + b) + (a - b)][(a + b) - (a - b)] = 2a*2b = 4ab
    16. = 4x² + 4xy + y² + y² - 4xy + 4x² = 8x² + 2y²
    17. = (1000 - 1)² = 1000000 - 2000 + 1 = 998001
    18. = (x² - y²)(x² - y²) = x⁴ - 2x²y² + y⁴
    19. = (x² - 2y + x² + 2y)(x² - 2y - x² - 2y) = 2x²(-4y)= -8x²y
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