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a) (2+1)(2^2+1)(2^4+1)...(2^32+1)-2^64
=(2+1)(2-1)(2^2+1)(2^4+1)...(2^32+1)-2^64
=(2^2-1)(2^2+1)(2^4+1)...(2^32+1)-2^64
=(2^4-1)(2^4+1)....(2^32+1)-2^64
=......
=(2^32-1)(2^32+1)-2^64
=2^64-1-2^64=-1
b)Đặt A=(5+3)(5^2+3^2)(5^4+3^4)...(5^64+3^64)+(5^128-3^128)/2
đặt B=(5+3)(5^2+3^2)(5^4+3^4)...(5^64+3^64)
\(2B=\left(5-3\right)\left(5+3\right)\left(5^2+3^2\right)\left(5^4+3^4\right)...\left(5^{64}+3^{64}\right)\)
\(2B=\left(5^2-3^2\right)\left(5^2+3^2\right)\left(5^4+3^4\right)...\left(5^{64}+3^{64}\right)\)
\(2B=\left(5^4-3^4\right)\left(5^4+3^4\right)...\left(5^{64}+3^{64}\right)\)
\(2B=.......\)
2B=(5^64-3^64)(5^64+3^64)
2B=5^128-3^128
B=(5^128-3^128)/2 (thế vào đề bài)
=> A=B+(5^128-3^128)/2=(5^128-3^128)/2+(5^128-3^128)/2=\(\frac{2\left(5^{128}-3^{128}\right)}{2}=\left(5^{128}-3^{128}\right)\)
a) A = ( 2-1)(2+1)(22+1)...(232+1)-264
=(22-1)(22+1)(24+1)... -264
=....
=264-1-264=1
câu b tương tự nhá
a: =-4xyz^2
b: =-9x^2y
c: =16x^2y^2
d: =1/6x^2y^3
e: =13/6x^3y^2
f: =7/12x^4y
a) -xyz² - 3xz.yz
= -xyz² - 3xyz²
= -4xyz²
b) -8x²y - x.(xy)
= -8x²y - x²y
= -9x²y
c) 4xy².x - (-12x²y²)
= 4x²y² + 12x²y²
= 16x²y²
d) 1/2 x²y³ - 1/3 x²y.y²
= 1/2 x²y³ - 1/3 x²y³
= 1/6 x²y³
e) 3xy(x²y) - 5/6 x³y²
= 3x³y² - 5/6 x³y²
= 13/6 x³y²
f) 3/4 x⁴y - 1/6 xy.x³
= 3/4 x⁴y - 1/6 x⁴y
= 7/12 x⁴y
Bài 44: (SBT/12):
a. (7.35 - 34 + 36) : 34
= (7.35 : 34) + (-34 : 34) + (36 : 34)
= 7 . 3 - 1 + 32
= 21 - 1 + 9
= 29
b. (163 - 642) : 83
= [(2.8)3 - (82)2 ] : 83
= (23 . 83 - 84) : 83
= ( 23 . 83 : 83) + (-84 : 83)
= 23 - 8
= 8 - 8
= 0
a) \(\left(7.3^5-3^4+3^6\right):3^4\)
\(=7.3^5:3^4-3^4:3^4+3^6:3^4\)
\(=7.3^{5-4}-3^{4-4}+3^{6-4}\)
\(=7.3^1-3^0+3^2\)
\(=7.3-1+9\)
\(=21-1+9\)
\(=20+9\)
\(=29\)
b) \(\left(16^3-64^2\right):8^3\)
\(=\left[\left(2^4\right)^3-\left(2^6\right)^2\right]:\left(2^3\right)^3\)
\(=\left(2^{4.3}-2^{6.3}\right):2^{3.3}\)
\(=\left(2^{12}-2^{12}\right):2^9\)
\(=2^{12-9}-2^{12-9}\)
\(=2^3-2^3\)
\(=8-8\)
\(=0\)
a) 6x2.(3x2 - 4x + 5) = 18x4 - 24x3 + 30x2
b) (x - 2y)(3xy + 6y2 + x) = 3x2y + 6xy2 + x2 - 6xy2 - 12y3 - 2xy = -12y3 + 3x2y - 2xy + x2
c) (18x4y3 - 24x3y4 + 12x3y3) : (-6x2y3) = -6x2y3(-3x2 + 4xy - 2x) : (-6x2y3) = 4xy - 3x2 - 2x
a)(7.3^5-3^4+3^6):3^4 (7.(3^5=243)-(3^4=81)+(3^6=729)):(3^4=81)=29
b)(16^3-64^2):8^2 ((16^3=4096)-(64^2=4096)):(8^2=64)=0
c)(3x^2y^2+6y^2):3y lấy 3x^2y^2:3y=x^2y rồi lấy 6y^2:3y=2y cộng 2 kết quả lạ
a)(7.243-81+729):81=29
b)(4096-4096):64=0
c)(9x^2.3x^2y+36y^2):3y=3x^2y+12y