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\(A=1+3+3^2+3^3+3^4\)
\(A=1+3+9+27+81\)
\(A=121\)
\(B=\left(3^2+1\right)\left(3^4+1\right)\left(3^8+1\right)\)
\(8B=\left(3^2-1\right)\left(3^2+1\right)\left(3^4+1\right)\left(3^8+1\right)\)
\(8B=\left(3^4-1\right)\left(3^4+1\right)\left(3^8+1\right)\)
\(8B=\left(3^8-1\right)\left(3^8+1\right)\)
\(8B=3^{16}-1\)
\(B=\frac{1}{8}\left(3^{16}-1\right)\)
\(B=\frac{3^{16}}{8}-\frac{1}{8}\)
\(B=\text{ }\frac{43046721}{8}-\frac{1}{8}\)
\(B=\frac{43046720}{8}\)
\(B=5380840\)
Bài 1:
a.
$=(x^3+2^3)-(x^3-2)=2^3+2=10$
b.
$=(x^2+10x+25)-4x(4x^2+12x+9)-(2x-1)(x^2-9)$
$=x^2+10x+25-16x^3-48x^2-36x-(2x^3-18x-x^2+9)$
$=-18x^3-46x^2-8x+16$
2.
a.
$301^2=(300+1)^2=300^2+2.300+1=90000+600+1$
$=90601$
b.
$198^2=(200-2)^2=4(100-1)^2=4(100^2-2.100+1)$
$=4(10000-200+1)=4.9801=39204$
c.
$93.107=(100-7)(100+7)=100^2-7^2$
$=10000-49=9951$
d.
$127^2+146.127+73^2$
$=127^2+2.73.127+73^2$
$=(127+73)^2=200^2=40000$
c;=(50-49)(50+49)+(48-47)(48+47)+.............+(2+1)(2-1)
=50+49+48+............+1
=(50+1)50=2550:2=1275
d;=(2^4-1)(2^4+1)(2^8+1)(2^16+1)
=(2^8-1)(2^8+1)(2^16+1)
=(2^16-1)(2^16+1)
=2^32-1
e;=(3-1)(3+1)(3^2+1)...........(3^16+1)
=(3^2-1)(3^2+1)..............(3^16+1)
=(3^16-1)(3^16+1)=3^32-1
tu tinh ket qua luy thua tao khong thua hoi dau
\(x^4+4=\left(x^2+2x+2\right)\left(x^2-2x+2\right)\)
\(x^4+2x^2-24=\left(x^2+6\right)\cdot\left(x^2-4\right)=\left(x-2\right)\left(x+2\right)\left(x^2+6\right)\)
Câu 3:
a: \(49^2=2401\)
b: \(51^2=2601\)
c: \(99\cdot100=9900\)
a. Ta có: a > b
4a > 4b ( nhân cả 2 vế cho 4)
4a - 3 > 4b - 3 (cộng cả 2 vế cho -3)
b. Ta có: a > b
-2a < -2b ( nhân cả 2 vế cho -2)
1 - 2a < 1 - 2b (cộng cả 2 vế cho 1)
d. Ta có: a < b
-2a > -2b ( nhân cả 2 vế cho -2)
5 - 2a > 5 - 2b (cộng cả 2 vế cho 5)
A=1+3+3^2+3^3+3^4
=1+3+9+27+81
=(9+81)+(3+27)+1
=90+30+1
=121
B=(3^2+1)×(3^4+1)×(3^8+1)
=(9+1)×(81+1)×(6561+1)
=10x82x6562
=820x6562
=5380840
A =1+3+32+33+34
3A =3+32+33+35
3A-A=35-1
2A =243-1
A=242:2
A=121