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\(50\left(y+4\right)^2-18\left(y-2\right)^2\)
\(=50\left(y^2+8y+16\right)-18\left(y^2-4y+4\right)\)
\(=50y^2+400y+800-18y^2+72y-72\)
\(=32y^2+472y+728\)
a)2004^2-13^2=(2004-13).(2004+13)=1991.2017=tự tính
b)13^2-13^2+25^2-125^2=(13-13).(13+13)+(25+125).(25-125)=0.26+150.(-100)=-15000
c)36^2+2.26.36+26^2=(36+26)^2=62^2
d)(100-3).(100+3)=100^2.3^2=90000
e)32^2+2.32.68+68^2=(32+68)^2=100^2=10000
f)(50-49).(50+49)+(48-47).(48+47)+....+(2-1).(2+1)=99+95+93+...+3
tổng trên từ 95+93+...+3 có 47 số hạng
95+93+....+3 có tổng =[(95+3).47]/2=2303
g)13,5.(5,8+4,2)-8,3.(4,2+5.8)=10.5,2=52
1,\(6x^2-9\)
=\(\left(4x^{ }\right)^2-3^2\)
=(4x-3)(4x+3)
2,\(x^2-4+\left(x+2\right)^2\)
=\(x^2-2^2+\left(x+2\right)^2\)
=(x-2)(x+2)+\(\left(x+2\right)^2\)
=(x+2)(x-2+x+2)
=2x(x+2)
3,7(x-5)+8x(5-x)
=7(x-5)-8x(x-5)
=(x-5)(7-8x)
4,\(2x^2-18\)
=2\(\left(x^2-9\right)\)
=2\(\left(x^2-3^2\right)\)
=2(x-3)(x+3)
5,2x\(^2\)-50
=2(x\(^2\)-25)
=2(\(x^2-5^2\))
=2(x+5)(x-5)
sai chỗ nào thì bạn bảo mk nhé!
Đặt A=( 20^2+18^2+...+2^2)-(19^2+17^2+...+1^2)
= (20^2-19^2)+ (18^2-17^2)+...+(2^2-1)
= (20-19)(20+19)+(18-17)(18+17)+...+(2-1)(2+1)
= 20+19+18+...+2+1
=20.21=...
Tương tự câu b
1) A=19952-1994.1996
=19952-(1995-1)(1995+1)
=19952-(19952-1)
=1
2) B=98.28-(184-1)(184+1)
=(9.2)8-[(184)2-1]
= 188-188+1
=1
3) C=1632+74.163+372
=1632+2.37.163+372
=1632+2.163.37+372
=(163+37)2.2
=80000
Ta có : \(\left(2+1\right)\left(2^2+1\right)\left(2^4+1\right)\left(2^8+1\right)\left(2^{16}+1\right)-2^{32}\)
\(=\left(2-1\right)\left(2+1\right)\left(2^2+1\right)\left(2^4+1\right)\left(2^8+1\right)\left(2^{16}+1\right)-2^{32}\)
\(=\left(2^2-1\right)\left(2^2+1\right)\left(2^4+1\right)\left(2^8+1\right)\left(2^{16}+1\right)-2^{32}\)
\(=\left(2^4-1\right)\left(2^4+1\right)\left(2^8+1\right)\left(2^{16}+1\right)-2^{32}\)
\(=\left(2^8-1\right)\left(2^8+1\right)\left(2^{16}+1\right)-2^{32}\)
\(=\left(2^{16}-1\right)\left(2^{16}+1\right)-2^{32}\)
\(=\left(2^{32}-1\right)-2^{32}\)
\(=-1\)
(2+1)(2^2+1)(2^4+1)(2^8+1)(2^16+1)-2^32=(2-1)(2+1)(2^2+1)(2^4+1)(2^8+1)(2^16+1)-2^32
=(2^2-1)(2^2+1)(2^4+1)(2^8+1)(2^16+1)-2^32=(2^4-1)(2^4+1)(2^8+1)(2^16+1)-2^32
=(2^8-1)(2^8+1)(2^16+1)-2^32=(2^16-1)(2^16+1)-2^32=2^32-1-2^32=-1
502 x 182 + 32 + 100 * 32
= 9002 + 32 + 100*32
= 810000 + 32 + 3200
= 813232