Упростите выражение:
а) (n+1)(2n-3)+(n-1)(3n+1)
б) (x-y)(2x-3y)-(3x-y)(2x+y)
в) (2a+3)(2a+3)-(2a+1)(2a-1)
г) (3c-d)(d+3c)+(4c-d)(c-4d)
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Упростите выражение:
а) (n+1)(2n-3)+(n-1)(3n+1)
б) (x-y)(2x-3y)-(3x-y)(2x+y)
в) (2a+3)(2a+3)-(2a+1)(2a-1)
г) (3c-d)(d+3c)+(4c-d)(c-4d)
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a) (n+1)(2n-3)+(n-1)(3n+1)=2n^2-3-n+3n^2-2n-1=5n^2-3n-4
б) (x-y)(2x-3y)-(3x-y)(2x+y)=2x^2+3y^2-5xy-6x^2+y^2-xy=-4x^2+4y^2-6xy
в) (2a+3)(2a+3)-(2a+1)(2a-1)=4a^2+9+12a-4a^2+1=10+12a
г) (3c-d)(d+3c)+(4c-d)(c-4d)=9c^2-d^2+4c^2-dc+4d^2-16dc=13c^2+3d^2-17dc