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\(\left(x^3-1\right)\left(x^3+1\right)=\left(x^3\right)^2-1^2=x^6-1\)
\(\left(x^3-1\right)\left(x^3+1\right)\)
\(=\left(x^3\right)^2-1^2\)
\(=x^3-1\)
Z thôi T nha

1. \(A=\left(a+b\right)^2+\left(a+b\right)^2\)
\(\Leftrightarrow A=2\left(a^2+2ab+b^2\right)\)
\(\Leftrightarrow A=2a^2+4ab+2b^2\)
2. \(B=\left(a+b\right)^2-\left(a-b\right)^2\)
\(\Leftrightarrow B=\left(a+b+a-b\right)\left(a+b-a+b\right)\)
\(\Leftrightarrow B=2a.2b=4ab\)
1) \(A=\left(a+b\right)^2+\left(a+b\right)^2\)
\(A=a^2+2ab+b^2+a^2+2ab+b^2\)
\(A=2a^2+4ab+2b^2\)
2) \(B=\left(a+b\right)^2-\left(a-b\right)^2\)
\(B=a^2+2ab+b^2-a^2+2ab-b^2\)
\(B=4ab\)

a) ( a - b + c ) 2 = a2 + b2 + c2 + 2ab - 2ac - 2bc
b ) ( a - b - c )2 = a² + b² + c² - 2ab + 2bc - 2ca
Giải
a/\(\left(a-b+c\right)^2=a^2+b^2+c^2+2ab-2ac-2bc\)
b/\(\left(a-b-c\right)^2=a^2+b^2+c^2-2ab+2bc-2ca\)

a) \(\left(2x-3y\right)^2=4x^2-12xy+9y^2\)
b) \(\left(5p-q\right)^2=25p^2-10pq+q^2\)
c) \(\left(-a-b\right)^2=-a^2-2ab-b^2\)
d) \(\left(1+3s\right)^2=1+6s+9s^2\)
e) \(\left(a^2b+2b\right)^2=a^4b^2+4a^2b^2+4b^2\)
f) \(\left(3u-v\right)^3=27u^3-27u^2v+9uv^2-v^3\)
a,\(\left(2x-3y\right)=\left(2x\right)^2-2.2x.3y+\left(3y\right)^2\)
=\(4x^2-12xy+6y^2\)
b,\(\left(5p-q\right)^2=\left(5p\right)^2-2.5p.q+q^2\)
=\(25p^2-10pq+q^2\)
c,(-a-b)\(^2=\left(-a\right)^2-2.\left(-a\right).b+b^2\)
=\(a^2+2ab+b^2\)
d,\(\left(1+3s\right)^2=1+6s+9s^2\)
e,(a\(^2b+2b)^2=(a^2b)^2+2.a^2b.2b^2+\left(2b\right)^2\)
=\(a^4b^2+4a^2b^2+4b^2\)
f,\(\left(3u-v\right)^3=27u^3-27u^2v+9uv^2-v^3\)


a.(x+3)(x+1)
=x.(x+1)+3.(x+1)
=x2+x+3x+3
=x2+4x+3
b.(x+6)(2x-2)
=x.(2x-2)+6.(2x-2)
=2x2-2x+12x-12
=2x2+10x-12
1/(a-b).(a+b)
=a.(a+b)-b(a+b)
=a2+ab-ab-b2
=a2-b2
2/(a+b)^3
=(a+b)(a+b)(a+b)
=a.(a+b)(a+b)+b(a+b)(a+b)
=(a2+ab)(a+b)+(ab+b2)(a+b)
=a2.(a+b)+ab.(a+b)+ab.(a+b)+b2.(a+b)
=a3+a2b+a2b+ab2+a2b+ab2+ab2+b3
=a3+3a2b+3ab2+b3
3/(a-b)^3
=(a-b)(a-b)(a-b)
=a.(a-b)(a-b)-b(a-b)(a-b)
=(a2-ab)(a-b)+(-ab+b2)(a-b)
=a2.(a-b)-ab.(a-b)-ab.(a-b)+b2.(a-b)
=a3-a2b-a2b+ab2-a2b+ab2+ab2-b3
=a3-3a2b+3ab2-b3