a: \(101^2=\left(100+1\right)^2\)

\(=100^2+2\cdot100\cdot1+1^2=10000+200+1\)

=10201

b: \(97\cdot103=\left(100-3\right)\left(100+3\right)\)

\(=100^2-3^2=10000-9=9991\)

c: \(77^2+23^2+77\cdot46\)

\(=77^2+2\cdot77\cdot23+23^2\)

\(=\left(77+23\right)^2=100^2=10000\)

d: \(105^5-5^2=\left(105-5\right)\left(105+5\right)=100\cdot110=11000\)

e: \(A=\left(x-y\right)\left(x^2+xy+y^2\right)+2y^3\)

\(=x^3-y^3+2y^3=x^3+y^3\)

\(=\left(\frac23\right)^3+\left(\frac13\right)^3=\frac{8}{27}+\frac{1}{27}=\frac{9}{27}=\frac13\)

có lộn đề ko bn ơi 

c). 1081.46

d). 1000

e. P=(x−y)(x2+xy+y2)−2y3=x3−y3−2y3=x3−3y3=(12)3−3.(23)3=−5572

mik k biết nữa

\(\Leftrightarrow5x-10=0\)

hay x=2

\(77^2+23+77.46\)

\(=77.77+23+77.46\)

\(=77.\left(77+46\right)+23\)

\(=77.123+23\)

\(=9471+23=9494\)

\(77^2+23+77.46\)

\(=77.77+23+77.46\)

\(=77.\left(77+46\right)+23\)

\(=77.123+23\)

\(=9471+23\)

\(=9494\)

77² + 23² + 77.46

= 23²+77.2.46+77²

=(23+77)²

=100²

=10000

\(a.101^2-99^2=\left(101+99\right)\left(101-99\right)=200.2=400\)

\(b.98.102=98.\left(100+2\right)=9800+196=9996\)

\(c,77^2+23^2+77.46=77^2+23^2+2.77.23=\left(77+23\right)^2=100^2=10000\)

77² + 23² + 77.46

= 77² + 2.77.23 + 23²

= (77 + 23)²

= 100²

= 10000

Tính nhanh

77² + 23² + 77.46=77²+2.77.23+23²=(77+23)²=100²=10000

a. \(^{77^2}\) + \(23^2\) + 77 . 46

= \(77^2\) + 2. 77 . 23 + \(23^2\)

= \(\left(77+23\right)^2\)

= \(100^2\)

= 10000

b. \(105^2\) - \(5^2\)

= ( 105 - 5)( 105 + 5)

= 100 . 110

= 11000