利用平方差公式计算 急(1) (x-1/2)(x+1/2)(x^2+1/4)(2) (根号2m+根号3n)(根号2m-根号3n)(3) (m-1/3)(m^2+1/9)(m+1/3)(4) (2x+1)(2x-1)-1(5) (-2x-1)(1-2x)-(3-2x)(2x+3)
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![利用平方差公式计算 急(1) (x-1/2)(x+1/2)(x^2+1/4)(2) (根号2m+根号3n)(根号2m-根号3n)(3) (m-1/3)(m^2+1/9)(m+1/3)(4) (2x+1)(2x-1)-1(5) (-2x-1)(1-2x)-(3-2x)(2x+3)](/uploads/image/z/1162928-56-8.jpg?t=%E5%88%A9%E7%94%A8%E5%B9%B3%E6%96%B9%E5%B7%AE%E5%85%AC%E5%BC%8F%E8%AE%A1%E7%AE%97+%E6%80%A5%281%29+%28x-1%2F2%29%28x%2B1%2F2%29%28x%5E2%2B1%2F4%29%282%29+%28%E6%A0%B9%E5%8F%B72m%2B%E6%A0%B9%E5%8F%B73n%29%28%E6%A0%B9%E5%8F%B72m-%E6%A0%B9%E5%8F%B73n%29%283%29+%28m-1%2F3%29%28m%5E2%2B1%2F9%29%28m%2B1%2F3%29%284%29+%282x%2B1%29%282x-1%29-1%285%29+%28-2x-1%29%281-2x%29-%283-2x%29%282x%2B3%29)
利用平方差公式计算 急(1) (x-1/2)(x+1/2)(x^2+1/4)(2) (根号2m+根号3n)(根号2m-根号3n)(3) (m-1/3)(m^2+1/9)(m+1/3)(4) (2x+1)(2x-1)-1(5) (-2x-1)(1-2x)-(3-2x)(2x+3)
利用平方差公式计算 急
(1) (x-1/2)(x+1/2)(x^2+1/4)
(2) (根号2m+根号3n)(根号2m-根号3n)
(3) (m-1/3)(m^2+1/9)(m+1/3)
(4) (2x+1)(2x-1)-1
(5) (-2x-1)(1-2x)-(3-2x)(2x+3)
利用平方差公式计算 急(1) (x-1/2)(x+1/2)(x^2+1/4)(2) (根号2m+根号3n)(根号2m-根号3n)(3) (m-1/3)(m^2+1/9)(m+1/3)(4) (2x+1)(2x-1)-1(5) (-2x-1)(1-2x)-(3-2x)(2x+3)
(1)
(x-1/2)(x+1/2)(x²+1/4)
=(x²-1/4)(x²+1/4)
=x⁴-1/16
(2)
(√2m+√3n)(√2m-√3n)
=2m²-3n²
(3)
(m-1/3)(m²+1/9)(m+1/3)
=(m²-1/9)(m²+1/9)
=m⁴-1/81
(4)
(2x+1)(2x-1)-1
=4x²-1-1
=4x²-2
(5)
(-2x-1)(1-2x)-(3-2x)(2x+3)
=4x²-1-(9-4x²)
=4x²-1-9+4x²
=8x²-10
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(1) (x-1/2)(x+1/2)(x^2+1/4)=(X^2-1/4)(X^+1/4)=X^4-1/16
(2) (根号2m+根号3n)(根号2m-根号3n)
(3) (m-1/3)(m^2+1/9)(m+1/3)=m^4-1/81
(4) (2x+1)(2x-1)-1=4x^2(
5) (-2x-1)(1-2x)-(3-2x)(2x+3)=16x^2+(4x^2-3)^2