преобразуйте произведение многочленов в многочлен стандартного вида-(a+b)(a+b)-(...

July 2022 2 12 Report

преобразуйте произведение многочленов в многочлен стандартного вида
-(a+b)(a+b)
-(x-y)(x+y)
-(x-y)(x-y)
-(2m-n)(n-3m)
-(5a-2b)(3b+2a)
-7(x+8y)(y-3x)

qwerty100 -(b+a)^2
y^2-x^2
-y^2+2*x*y-x^2
n^2-5*m*n+6*m^2
6*b^2-11*a*b-10*a^2
-56*y^2+161*x*y+21*x^2

6 votes Thanks 6

assistantBeard 1) $-(a+b)(a+b)=(-a-b)(a+b)=-a^2-2ab-b^2=a^2+2ab+b^2$
2) $-(x-y)(x+y)=(y-x)(x+y)=yx+y^2-x^2-yx=y^2-x^2$
3) $-(x-y)(x-y)=(y-x)(x-y)=2yx-y^2-x^2=y^2-2xy+x^2$
4) $-(2m-n)(n-3m)=(n-2m)(n-3m)=n^2-5mn+6m^2$
5) $-(5a-2b)(3b+2a)=(2b-5a)(3b+2a)=6b^2-11ab-10a^2$
6) $-7(x+8y)(y-3x)=(-7x-56y)(y-3x)=21x^2+175yx+56y^2$

7 votes Thanks 6

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