整式的乘除法应用题,(1)(x-y)(x+y)(x²+y²)(2)(2x-3)²(2x+3
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整式的乘除法应用题,
(1)(x-y)(x+y)(x²+y²)
(2)(2x-3)²(2x+3)(2x-3)
(3)(6m²n-6m²n²-3m²)÷(-3m²)
(4)(5a²b-3ab-1)(-3a²)
(5)(-3x²y)³(-2xy³z)²
(1)(x-y)(x+y)(x²+y²)
(2)(2x-3)²(2x+3)(2x-3)
(3)(6m²n-6m²n²-3m²)÷(-3m²)
(4)(5a²b-3ab-1)(-3a²)
(5)(-3x²y)³(-2xy³z)²
(1)(x-y)(x+y)(x²+y²)
=(x²-y²)(x²+y²)
=x⁴-y⁴
(2)(2x-3)²(2x+3)(2x-3)
=(2x+3)(2x-3)(2x-3)²
=(4x²-9)(2x-3)²
=(4x²-9)(4x²+9-12x)
=(4x²-9)(4x²+9)-12x*(4x²-9)
=16x⁴-81-48x³+108x
=16x⁴-48x³+108x-81
(3)(6m²n-6m²n²-3m²)÷(-3m²)
=-2n+2n²+1
(4)(5a²b-3ab-1)(-3a²)
=-15a⁴b+9a³b+3a²
(5)(-3x²y)³(-2xy³z)²
=-27x^6y³*4x²y^6z³
-108x^8 y^9 z³
=(x²-y²)(x²+y²)
=x⁴-y⁴
(2)(2x-3)²(2x+3)(2x-3)
=(2x+3)(2x-3)(2x-3)²
=(4x²-9)(2x-3)²
=(4x²-9)(4x²+9-12x)
=(4x²-9)(4x²+9)-12x*(4x²-9)
=16x⁴-81-48x³+108x
=16x⁴-48x³+108x-81
(3)(6m²n-6m²n²-3m²)÷(-3m²)
=-2n+2n²+1
(4)(5a²b-3ab-1)(-3a²)
=-15a⁴b+9a³b+3a²
(5)(-3x²y)³(-2xy³z)²
=-27x^6y³*4x²y^6z³
-108x^8 y^9 z³
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