TINH GIA TRI BIEU THUC ko tim n tinh bieu thuc
125.(-61):(-2)^3:(-1)^2n (nTHUOC N*)
tinh gia tri bieu thuc (-1)^2n. (-1)^n.(-1)^n+1
\(\left(-1\right)^{2n}.\left(-1\right)^n.\left(-1\right)^n+1=\left(-1\right)^{2n+n+n}+1=\left(-1\right)^{4n}+1=1+1=2\)
bai 1 tinh gia tri cua bieu thuc 78 x m + 22 x m voi m =135
bai 2 tinh gia tri cua bieu thuc 78 x m + 42 x m -20 x m voi m =1035
bai 3 cho bieu thuc B = 119 x n - n x 9 bieu thuc B co gia tri bang 8470 khi n =............
tinh gia tri bieu thuc mot cach hop ly
a , 125. (- 61 ) . (-2 )3 . ( - 1 )2.n ( n thuoc N*)
125.(-61).(-8).1
=[125.(-8)].[-61.1]
=-1000.(-61)
=61000
Tinh gia tri bieu thuc [m + n ]:p neu m=5,n=19 va p=3 .Vay gia tri bieu thuc la:
cho x+y =1 . tinh gia tri cua bieu thuc A=x^3+y^3+3xy
chox-y=1. tinh gia tri cua bieu thuc B=x^3-y^3-3xy
cho x+y=1 . tinh gia tri cua bieu thuc C=x^3+y^3+3xy(x^2+y^2)+6x^2*y^2(x+y)
Câu 1: Ta có: A = \(x^3+y^3+3xy=x^3+y^3+3xy\times1=x^3+y^3+3xy\left(x+y\right)\)
\(=\left(x+y\right)^3=1^3=1\)
Câu 2: Ta có: \(B=x^3-y^3-3xy=\left(x-y\right)\left(x^2+xy+y^2\right)-3xy\)
\(=x^2+xy+y^2-3xy=x^2-2xy+y^2=\left(x-y\right)^2=1^2=1\)
Câu 3: Ta có: \(C=x^3+y^3+3xy\left(x^2+y^2\right)-6x^2.y^2\left(x+y\right)\)
\(=x^3+y^3+3xy\left(x^2+2xy+y^2-2xy\right)+6x^2y^2\)
\(=x^3+y^3+3xy\left(x+y\right)^2-3xy.2xy+6x^2y^2\)
\(=x^3+y^3+3xy.1-6x^2y^2+6x^2y^3\)
\(=x^3+y^3+3xy\left(x+y\right)=\left(x+y\right)^3=1^3=1\)
CHO bieu thuc
B=17,58*43+57*17,58/293*A
a)tim gia tri cua bieu thuc Bkhi a=2
b)tinh gia tri a khi B=2
c)tim gia tri so tu nhien ad biet bieu thuc B co gia tri lon nhat ,gia tri lon do la bao nhieu
Tinh gia tri cua cac bieu thuc sau bang cach hop li
a) 125 : (-61) . (-23) . (-1) 2n
b) 136 . (-47) + 36 . 47
cho bieu thuc A=2,45*(a+64,36)-45
a tinh gia tri bieu thuc A khi a=35,64
b tim gia tri cua A de bieu thuc A =126,5
b. Neu A =126.5 thì 126.5=2.45 x (a+64.36) -45
= 2.45 x (a+64.36) 126.5 + 45
= 2.45 x (a+64.36) = 171.5
= a+64.36 = 171.5 : 24.5
a+64.36 = 70
a = 70 - 64.36
a = 5.64
a,thay a=35,64vào bthuc đã cho ta đc:
A= 2,45x(35,64 +64,36)-45=2,45x100-45=200
b,để A=126,5 thì 2,45x(a+64,36)-45=126,5
=>2,45a+157,682-45=126,5
=>2,45a=13,818
=>a=5,64
cistian ronaldo
cho bieu thuc A=[x+2/x^2-x+x-2/x^2+x].x^2-1/x^2+2
a) tim dieu kien cua x de gia tri cua bieu thuc A duoc xac dinh
b) tinh gia tri cua bieu thuc A voi x = -200
a) \(A=\left[\dfrac{x+2}{x^2-x}+\dfrac{x-2}{x^2+x}\right].\dfrac{x^2-1}{x^2-x}\)
\(A=\left[\dfrac{x+2}{x\left(x-1\right)}+\dfrac{x-2}{x\left(x+1\right)}\right].\dfrac{x^2-1}{x^2+2}\)
\(A=\left[\dfrac{\left(x+2\right)\left(x+1\right)+\left(x-2\right)\left(x-1\right)}{x\left(x-1\right)\left(x+1\right)}\right].\dfrac{x^2-1}{x^2+2}\)
\(A=\left[\dfrac{x^2+2x+x+2+x^2-2x-x+2}{x\left(x-1\right)\left(x+1\right)}\right].\dfrac{x^2-1}{x^2+2}\)
\(A=\dfrac{2x^2+4}{x\left(x^2-1\right)}.\dfrac{x^2-1}{x^2+2}\)
\(A=\dfrac{2\left(x^2+2\right)\left(x^2-1\right)}{x\left(x^2-1\right)\left(x^2+2\right)}=\dfrac{2}{x}\)
b) Thay \(x=-200\) vào biểu thức \(A=\dfrac{2}{x}\) ta được :
\(A=\dfrac{2}{x}=\dfrac{2}{-200}=\dfrac{-2}{200}=\dfrac{-1}{100}\)