16M^4-72M^2+81的因式分解

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16M^4-72M^2+81的因式分解16M^4-72M^2+81的因式分解16M^4-72M^2+81的因式分解16M^4-72M^2+81=(4m²-9)²=(2m+3)

16M^4-72M^2+81的因式分解
16M^4-72M^2+81的因式分解

16M^4-72M^2+81的因式分解
16M^4-72M^2+81
=(4m²-9)²
=(2m+3)²(2m-3)²

原式=(2m)^4-2*9*(2m)^2+9^2=[(2m)^2-9]^2=[(2m+3)(2m-3)]^2==(2m+3)(2m+3)(2m-3)(2m-3)