16x²y²-1运用平方差公式分解因式①16x²y²-1 ②3(a+b)²-27c²③-x^4 +x²y²
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16x²y²-1运用平方差公式分解因式①16x²y²-1 ②3(a+b)²-27c²③-x^4 +x²y²
16x²y²-1运用平方差公式分解因式
①16x²y²-1 ②3(a+b)²-27c²③-x^4 +x²y²
16x²y²-1运用平方差公式分解因式①16x²y²-1 ②3(a+b)²-27c²③-x^4 +x²y²
解
16x²y²-1
=(4xy)²-1²
=(4xy-1)(4xy+1)
3(a+b)²-27c²
=3[(a+b)²-(3c)²]
=3(a+b-3c)(a+b+3c)
-x^4+x²y²
=x²(y²-x²)
=x²(y+x)(y-x)
①16x²y²-1
=(4xy)²-1
=(4xy+1)(4xy-1)
②3(a+b)²-27c²
=3[(a+b)²-(3c)²]
=3(a+b+3c)(a+b-3c)
③-x^4 +x²y²
=-x²(x²-y²)
=-x²(x+y)(x-y)