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20.03 Հանրահաշիվ

701

ա) (2mn2)3-3m2n6m=8m3n6-3m3n6=5m3 n6

բ) (5xy3)2-(2xy3)2=25x2y6-4x2y6=21 x2y6

702

ա) x(x+y)-y(x-y)=x2+xy-xy+y2 =x2+y2

բ) 2(a+b)+3(a-b)=2a+2b+3a-3b=5a-b

գ) 3(x-2y)+2(x-3y)=3x-6y+2x-6y=5x-12y

դ) m(p+2q)-p(m-3q)=mp+2mq-mp-3pq=2mq-3pq

703

ա)(a+2)(a-1)-(a+1) (a-2)=a2-a+2a-2-a2+2a-a+2=2a

բ)(x+4)(x-2)-(x+1)(x-1)=x2-2x+4x-8-x2+x-x+1=2x-7

գ)(a+2)(a-1)-(a+3) (a-2)=a2-a+2a-2-a2+2a-3a+6=4

դ)(n+7)(n-5)-(n+9)(n-7)=n2-5n+7n-35-n2+7n-9n+63=28

704

ա) (x2-2x+5)(x2+x-3)=x4+x3-3x2-2x3-2x2+6x+5x2+5x-15= x4-x3+11x-15

բ) (x2-3x+7)(-3+5x+2x2)=-3x2+5x3+2x4+9x-15x2-6x3-21+35x+14x2=2x4-x3-4x2+44x-21

705

(x+y)2=(x+y)(x+y)=x2+xy+xy+y2=x2+2xy+y2

(a-8)2=(a-8)(a-8)=a2-8a-8a+64=a2-16a+64

(2a-3b)2=(2a-3b)(2a-3b)=4a2-6ab-6ab+9b2=4a2-12ab+9b2

(xy+1/2y)2=(xy+1/2y) (xy+1/2y)=x2y2+xy2+1/4y2

(5m2-2n3)2=25m4-20m2n3+4n6

(0,2p3+3q4)2=0,04p6+1,2p3q4+9q8

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