71*69=(70+1)(70-1)=702-12=4900-1=4899 82*78=(80+2)(80-2)=802-22=6400-4=6396 299*301=(300-1)(300+1)=3002-12=90000-1=89999 498*502=(500-2)(500+2)=5002-22=250000-4=249996 x4-1=(x2)2-12 4a2…
(50-1)2=2500-100+1=2401 (90-1)2=8100-180+1=7921(200-1)2=40000-400+1=39601 (40-2)2=1600-160+4=1444 a2-2ab+b2=(a-b)2 25-30c+9c2=(5-3c)2 4x2-4xy+y2=(2x-y)2 9m2…
(m+n)2=m2+2mn+n2 (2+x)2=4+4x+x2 (y+4)2=y2+8y+16 (1+p)2=1+2p+p2 (a2+b)2=a4+2a2b+b2 (x+y…
a-b=-(b-a) (-b+a)=a-b a-b=a-b (x-y)(x+y)=x2-y2 x*x+x*y-y*x-y*y= x2-y2 (a+b)(a+b)=a2+2ab+b2 a*a+a*b+b*a+b*b=a2+2ab+b2 (a-b)(a-b)=a2-2ab+b2 a*a-a*b-a*b+b*b=a2-2ab+b2 (m-n)(m2…
-30-8=-38 300-40+1=261 10000-2000+800-10=8790 -1*2*3=-6 -1*4*27=-108 3(2*3)=3*6=18 9-15-13=-19 0.2-6-1/5+7/4=0.2-6-0.2+1.75=-5.25 …
2(x-1)+3(2-x)=2x-2+6-3x=-x+4 2ab(3-2a)+4b(3a-7a2)=6ab-4a2b+12ab-28a2b=18ab-32a2b Ա)(5ab2+4b3)(3ab3-4a2)-18a2b3=15a2b5-20a3b2…
2a+4b=2(a+2b) 6x-2=2(3x-1) 3a-12b=3(a-4b) ba-b=b(a-1) yx+2y=y(x+2) 7x-28xy=7x(1-4y) x(a+b)+y(a+b)=(a+b)(x+y) m(n-3)-2(n-3)=(n-3)(m-2) 2x(x+2y)+3y(x+2y)=(x+2y)(2x+3y) (a+b)a-b(a+b)=(a+b)(a-b) (x-y)3-a(x+b)=(x-y)3-a(x+b) a(a+b)+(a+b)=(a+b)(a+1) a(x-y)+b(y-x)=a(x-y)-b(-y+x)=a(x-y)-b(x-y)=(x-y)(a-b) 3(m-n)-a(n-m)=3(m-n)+a(-n+m)=3(m-n)+a(m-n)=(m-n)(3+a) x(a-b)+y(b-a)=x(a-b)-y(-b+a)=x(a-b)-y(a-b)=(a-b)(x-y) 7a(a-b)-5(b-a)=7a(a-b)+5(-b+a)=7a(a-b)+5(a-b)=(a-b)(7a+5) a(b-1)-(1-b)=a(b-1)+(-1+b)=a(b-1)+(b-1)=(b-1)(a+1) (a+b)+3a(a+b)=(a+b)(1+3a)…
(a+1)(a+1)=a2+a+a+1=a2+2a+1 (2+y)(y+3)=2y+6+y2+3y=5y+6+y2 (1+x)(1-x)=1-x+x-x2=1-x2 (x+1)(x+2)=x2+2x+x+2=x2+3x+2 (a+b)(a+b)=a2+ab+ba+b2=a2+2ab+b2 (a-2)(3-a)=3a-a2-6+2a=5a-a2…
a(b-c)+b(c-a)+c(a-b)=ab-ac+bc-ba+ca-cb=0 a(b+c-bc)-b(c+a-ac)+c(b-a)=ab+ac-abc-bc-ba+bac+cb-ca=0 114. 3a + 3b=3(a+b) 5a + 10=5(a+2) 4 − 4a=4(1-a) 6x + 8xy=2x(3+4y) 2x − 2y=2(x-y) 14 − 7y=7(2-y) 12a − 3=3(4a-1) 12abx + 15a=3a(4bx+5) 115. a2… [...]
109. (a + 3) 7=7a+21 a (x − y)=ax-ay (a + b − c) 2=2a+2b-2c x (x − y + c)= x2-xy+cx (x − y) 10=10x-10y a (a …
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