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\(a,5^{n+1}-4.5^n=5^n\left(5-4\right)=5^n\)
B2:
\(4\left(18-5x\right)-12.\left(3x-7\right)=15\left(2x-16\right)-6\left(x+14\right)\)
\(\Rightarrow72-20x-36x+84=30x-240-6x-84\)
\(\Rightarrow156-56x-24x+324=0\)
\(\Rightarrow480-80x=0\)
\(\Rightarrow80x=480\)
\(\Rightarrow x=6\)
Vậy x=6
Bài 1:
\(a,5^{n+1}-4.5^n=5^n\left(5-4\right)\)
\(=5^n.1\)
\(=5^n\)
\(b,6^2.6^4-4^3.\left(3^6-1\right)=6^6-\left(2^2\right)^3\left(3^6-1\right)\)
\(=6^6-2^6\left(3^6-1\right)\)
\(=6^6-6^6+2^6\)
\(=2^6\)
\(=64\)
Bài 2:
\(a,4.\left(18-5x\right)-12.\left(3x-7\right)=15.\left(2x-16\right)-6.\left(x+14\right)\)
\(\Rightarrow72-20x-36x+84=30x-240-6x-84\)
\(\Rightarrow30x-6x+20x+36x=72+84+240+84\)
\(\Rightarrow80x=6372\)
\(\Rightarrow x=79,65\)
Đặt \(A=12.\left(5^2+1\right).\left(5^4+1\right).\left(5^8+1\right).\left(5^{16}+1\right)\)
\(\Rightarrow2A=24.\left(5^2+1\right).\left(5^4+1\right).\left(5^8+1\right).\left(5^{16}+1\right)\)
\(2A=\left(5^2-1\right).\left(5^2+1\right).\left(5^4+1\right).\left(5^8+1\right).\left(5^{16}+1\right)\)
\(2A=\left(5^4-1\right).\left(5^4+1\right).\left(5^8+1\right).\left(5^{16}+1\right)\)
\(2A=\left(5^8-1\right).\left(5^8+1\right).\left(5^{16}+1\right)\)
\(2A=\left(5^{16}-1\right).\left(5^{16}+1\right)\)
\(2A=\left(5^{16}\right)^2-1^2\)
\(2A=5^{32}-1\)
\(\Rightarrow A=\frac{5^{32}-1}{2}.\)
12
= \(\frac{24}{2}\)
= \(\frac{1}{2}\left(25-1\right)\)
= \(\frac{1}{2}\left(5^2-1\right)\)
Chép đề sai kìa
Mk mak lm mấy cái con toán này
Thì mk sáng mai cx ko lm xng đôu
Bấm mẹ máy tính cho nó nhanh
K mk
\(a)\)\(\frac{10^{12}+5^{11}.2^9-5^{13}.2^8}{4.5^5.10^6}\)
\(=\)\(\frac{2^{12}.5^{12}+2^9.5^{11}-2^8.5^{13}}{2^8.5^{11}}\)
\(=\)\(\frac{2^8.5^{11}\left(2^4.5+2-5^2\right)}{2^8.5^{11}}\)
\(=\)\(2^4.5+2-5^2\)
\(=\)\(80+2-25\)
\(=\)\(57\)
Chúc bạn học tốt ~
a,3xn(6xn−3+1)−2xn(9xn−3−1)a,3xn(6xn−3+1)−2xn(9xn−3−1)
=xn[3(6xn−3+1)−2(9xn−3−1)]=xn[3(6xn−3+1)−2(9xn−3−1)]
=xn(18xn−3+3−18xn−3+2)=xn(18xn−3+3−18xn−3+2)
=5xn=5xn
b,5n+1−4.5nb,5n+1−4.5n=5n.5+5n.4=5n(5+4)=45n=5n.5+5n.4=5n(5+4)=45n
c,62.64−43(36−1)c,62.64−43(36−1)
=66−43.36+43=66−43.36+43
=26.36−43.36+43=26.36−43.36+43
=36(26−43)+43=36(26−43)+43
=36[(22)3−43]+43=36.0+43=43=64
~Hok tốt~
TL:
a)
=\(18x^{2n-3}+3x^n-18x^{2n-3}+2x^n\)
=\(6x^n\)
b)
=\(5^n.5-4.5^n\)
=\(5^n\left(5-4\right)\)
=\(5^n\)
vậy.......
hc tốt
Bài làm :
\(a,\left(8-5x\right)\left(x+2\right)+4\left(x-2\right)\left(x+1\right)+2\left(x-2\right)\left(x+2\right)+10\)
\(=8x+16-5x^2-10x+\left(4x-8\right)\left(x+1\right)+2\left(x^2-2^2\right)+10\)
\(=8x+16-5x^2-10x+4x^2+4x-8x-8+2x^2-8+10\)
\(=\left(8x-10x+4x-8x\right)+\left(-5x^2+4x^2+2x^2\right)+\left(16-8-8+10\right)\)
\(=-6x+x^2+10\)
a)\(\left(8-5x\right)\left(x+2\right)+4\left(x-2\right)\left(x+1\right)+2\left(x-2\right)\left(x+2\right)+10\)\(=8x+16-5x^2-2+4x-8x-8+2x-4x-4+10\)\(=\left(8x+4x-8x+2x-4x\right)+\left(16-2-8-4+10\right)+5x^2\)
\(=2x+12+5x^2\)
b)\(4\left(x-1\right)\left(x+5\right)-\left(x+2\right)\left(x+5\right)-3\left(x-1\right)\left(x+2\right)\)
\(=4x-4x-20-\left[x^2+5x+2x+10\right]-3\left[x^2+2x-1x-2\right]\)
\(=4x-4x-20-x^2-5x-2x-10-3x^2-6x+3x+6\)
\(=\left(4x-4x-5x-2x-6x+3x\right)+\left(-20-10+6\right)+\left(-x^2-3x^2\right)\)
\(=-10x-24-4x^2\)
c)\(\left(x^{2n}+x^ny^n+y^{2n}\right)\left(x^n-y^n\right)\left(x^{3n}+y^{3n}\right)\)
Xét tích \(\left(x^{2n}+x^ny^n+y^{2n}\right)\left(x^n-y^n\right)\Leftrightarrow\left(x^n\right)^3-\left(y^n\right)^3=x^{3n}-y^{3n}\)
Thay vào bt đã cho ta có \(\left(x^{3n}-y^{3n}\right)\left(x^{3n}+y^{3n}\right)\)
\(\Leftrightarrow\left(x^{3n}\right)^2-\left(y^{3n}\right)^2=x^{6n}-y^{6n}\)
a) 2(x-1)2 - 4(x+3)2 + 2x(x-5)
= 2(x2 -2x +1)- 4(x2 + 6x +9) + 2x2 -10x
= 2x2 - 4x + 2 -4x2 - 24x - 36 + 2x2 - 10x
= (2x2 + 2x2 - 4x2) - (4x + 24x+10x) +(2-36)
= -38x-34
b) 2(2x+5)2 -3(4x+1)(1-4x)
= 2(4x2 + 20x + 25) + 3(4x+1)(4x-1)
= 8x2 +40x + 50 + 3(16x2 -1)
= 8x2 + 40x + 50 + 48x2 - 3
=56x2 +40x + 47
a, \(2\left(x-1\right)^2-4\left(x+3\right)^2+2x\left(x-5\right)\)
\(=2\left(x^2-2x+1\right)-4\left(x^2+6x+9\right)+2x\left(x-5\right)\)
\(=2x^2-4x+2-4x^2-24x-36+2x^2-10=-28x-44\)
b, \(2\left(2x+5\right)^2-3\left(4x+1\right)\left(1-4x\right)\)
\(=2\left(4x^2+20x+25\right)-3\left(1-16x^2\right)\)
\(=8x^2+40x+50-3+48x^2=56x^2+40x+47\)
Tham khảo tại :
Câu hỏi của Cô gái đến từ tương lai - Toán lớp 8 | Học trực tuyến
_Minh ngụy_
12.( 52 + 1 ).( 54 + 1 ).( 58 + 1 ).( 516 + 1 )
= \(\frac{1}{2}.2\). 12.( 52 + 1 ).( 54 + 1 ).( 58 + 1 ).( 516 + 1 )
= \(\frac{1}{2}\).( 52 - 1 ).(52+1).( 54 + 1 ).( 58 + 1 ).( 516 + 1 )
= \(\frac{1}{2}\).( 54 - 1 ).( 54 + 1 ).( 58 + 1 ).( 516 + 1 )
=\(\frac{1}{2}\).( 58 - 1 ).( 58 + 1 ).( 516 + 1 )
=\(\frac{1}{2}\).( 516 - 1 ).( 516 + 1 )
=\(\frac{1}{2}\).( 532 - 1 )
=\(\frac{5^{32}-1}{2}\)