1) -m⁴+16=16-m⁴=(4-m²)(4+m²)
2) 162p³-2pa²=2p(81p²-a²)=2p(9p-a)(9p+a)
3)(2a-3b)²-(2a+3b)²=((2a-3b)+(2a+3b))*((2a-3b)-(2a+3b))=
=(2a-3b+2a+3b)(2a-3b-2a-3b)=4a*(2a-3b-2a-3b)=4a*(-6b)=-24ab
4) 49m⁴-4x²+12xy-9y²=49m⁴-(4x²-12xy+9y²)=49m⁴-(2x-3y)²=
=(7m²-(2x-3y))(7m²+(2x-3y))=(7m²-2x+3y)(7m²+2x-3y)
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Ответ:
Объяснение:
1) -m⁴+16=16-m⁴=(4-m²)(4+m²)
2) 162p³-2pa²=2p(81p²-a²)=2p(9p-a)(9p+a)
3)(2a-3b)²-(2a+3b)²=((2a-3b)+(2a+3b))*((2a-3b)-(2a+3b))=
=(2a-3b+2a+3b)(2a-3b-2a-3b)=4a*(2a-3b-2a-3b)=4a*(-6b)=-24ab
4) 49m⁴-4x²+12xy-9y²=49m⁴-(4x²-12xy+9y²)=49m⁴-(2x-3y)²=
=(7m²-(2x-3y))(7m²+(2x-3y))=(7m²-2x+3y)(7m²+2x-3y)