A: \(135^2+94\cdot153+47^2=135^2\cdot2\cdot47+153\cdot47\)

\(=47\left(36450+153\right)=36603\cdot47=1720341\)

B: \(126^2-152\cdot126+5776=126^2-2\cdot126\cdot76+76^2=\left(126-76\right)^2=50^2=2500\)

C: \(3^8\cdot5^8-\left(15^4-1\right)\left(15^4+1\right)=15^8-\left(15^8-1\right)=15^8-15^8+1=1\)

Tính nhanh:
a)       

153^2 + 94 * 153 + 47^2
= 153 * (153 + 94) + 47^2
= 153 * 247 + 47^2
= 153 * (200 + 47) + 47^2
= 153 * 200 + 153 * 47 + 47^2
= 153 * 200 + 47 * (153 + 47)
= 153 * 200 + 47 * 200

= 200 * (153 + 47)
= 200 * 200
= 40000

b)126^2 - 152.126 + 5776
= 126 . 126 - 152.126 +126. 2888/63
= 126 . ( 126 - 152 + 2888/63)
= 126 . 1250/63
= 2500

Câu c bn tự làm nha

a) \(153^2+94.153+47^2=153^2+2.47.153+47^2\)

\(=\left(153+47\right)^2=200^2=40000\)

b) \(126^2-152.126+5776=126^2-2.76.126+76^2\)

\(=\left(126-76\right)^2=50^2=2500\)

c) \(3^8.5^8-\left(15^4-1\right)\left(15^4+1\right)=15^8-\left[\left(15^4\right)^2-1\right]\)

\(=15^8-\left(15^8-1\right)=15^8-15^8+1=1\)

a)\(\left(153+47\right)^2\)

b)\(\left(126-76\right)^2\)

c)\(15^8-15^8+1=1\)

Ai giúp mình làm bài này với. Mình cảm ơn nhiều.

a) 153^2+99.153+47^2

= 153^2+2.47.153+47^2

= (153+47)^2

=200^2

=40000

b) 126^2-152.126+5776

= 126^2-2.76.126+76^2

= (126-76)^2

= 50^2

= 2500

c)3^8.5^8-(15^4-1).(15^4+1)

= 15^8-[(15^4)^2-1^2]

= 15^8-15^8+1

=1

d) (2+1).(2^2+1).(2^4+1)...(2^32+1)+1

= 1.(2+1).(2^2+1).(2^4+1)...(2^32+1)+1

= (2-1).(2+1).(2+1).(2^4+1)...(2^32+1)+1

= (2^2-1).(2^2+1).(2^4+1)...(2^32+1)+1

= (2^4-1).(2^4+1)...(2^32+1)+1

= (2^8-1)...(2^32+1)+1

= (2^32-1).(2^32+1)+1

= 2^64-1+1

= 2^64

1262 - 19152 + 5776

= -12114

Đáp án là : -12.114

Sửa đề: \(126^2-152\cdot126+5776\)

\(=126^2-2\cdot126\cdot76+76^2\)

\(=\left(126-76\right)^2\)

\(=50^2=2500\)

B1:

\(a.301^2=\left(300+1\right)^2=300^2+2.300.1+1^2\\ =90000+600+1=90601\\ b.88^2+2.88.12+12^2=\left(88+12\right)^2=100^2=10000\\ c.99.100=100^2-100=10000-100=9900\\ d,153^2+94.153+47^2=153^2+2.153.47+47^2=\left(153+47\right)^2=200^2=40000\)

B2:

\(A=x^2-20x+101\\ =x^2-2.x.10+10^2+1\\ =\left(x-10\right)^2+1\ge1\forall x\in R\left(Vì:\left(x-10\right)^2\ge0\forall x\in R\right)\\ \Rightarrow min_A=1\Leftrightarrow x-10=0\Leftrightarrow x=10\)

Tính nhanh :

126² - 152 x 126 + 5776

= 126 x 126 - 152 x 126 + 5776

= 126(126-152) + 5776

= -3276 + 5776

= 2500

\(126^2-152.126+5776\)

\(=126.126-152.126+5776\)

\(=126.\left(126-152\right)+5776\)

\(=126.\left(-26\right)+5776\)

\(=\left(-3276\right)+5776\)

\(=2500\)

\(126^2-152.126+5776\)

\(=126.126-152.126+5776\)

\(=126.\left(126-152\right)+5776\)

\(=126.\left(-26\right)+5776\)

\(=-3276+5776\)

\(=2500\)

Rất vui vì giúp đc bạn <3