tinh gia tri bieu thuc : A=3+3^2+3^3+3^4....3^100
hay giup minh cau nay kho qua !
Tinh gia tri bieu thuc
A = 3 + 32 + 33 + 34 + ... + 3100
Giup minh nhe
A = 3 + 32 + 33 + 34 + ... + 3100
3A = 3(3 + 32 + 33 + ... + 3100)
3A = 32 + 33 + 34 + ... + 3101
2A = 3A - A = (32 + 33 + 34 + ... + 3101) - (3 + 32 + 33 + ... + 3100)
2A = 3101 - 3
=> A = \(\frac{3^{101}-3}{2}\)
Vay ........
A = 3 + 32 + 33 + 34 + ... + 3100
3A = 32 + 33 + 34 + ... + 3101
3A - A = ( 32 + 33 + 34 + ... + 3101 ) - ( 3 + 32 + 33 + 34 + ... + 3100 )
2A = 3101 - 3
A = 3101 - 3 : 2
giup minh cau nay voi
tim gia tri cua x sao cho 2 bieu thuc sau co gia tri bang nhau
0,35x+3/4x và 4+x/10=x-39
giup minh cau nay nhe
tim gia tri nho nhat cua bieu thuc A= 4x(2x+1) - 2(2x-3)2
cho bieu thuc a=-1/3+1/3^2-1/3^3+1/3^4-1/3^5+...+1/3^100 tinh gia tri cua bieu thuc b=4/a/+1/3^100
bai2: tinh gia tri cua bieu thuc: 5/6+1/3*2 bang bao nhieu
giup minh voi
`5/6 + 1/3 xx 2`
`= 5/6 + 2/3`
`= 5/6 + 4/6`
`=9/6`
`=3/2`
bai nay lam sao hon so nha tinh gia tri bieu thiuc 3/4 + 2 1/5 * 3 3/4 cau hai 11/4 - 2 1/5 chia 3 3/4 giup mk nha mk ko bit lam nan ni nhanh k tik cho
1+(1+2)+(1+2+3)+(1+2+3+4)+...+(1+2+3+4+...+2012)
1x2012+2x2012+3x2010+....+2012x1
tinh gia tri bieu thuc tren.(giai giup minh voi,dang voi)
Cho x+y=2, tinh gia tri cua bieu thuc:
M=3(x^2+y^2)-(x^3+y^3)+1
Bai 2:Cho a+b=5,tinh gia tri bieu thuc:
M=3a^2-2a+3b^2-2b+6ab+100
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: \(C=x^3+y^3+3xy\left(x^2+y^2\right)-6x^2.y^2\left(x+y\right)\)
\(=x^3+y^3+3xy\left(x^2+2xy+y^2-2xy\right)+6x^2y^2\)
\(=x^3+y^3+3xy\left(x+y\right)^2-3xy.2xy+6x^2y^2\)
\(=x^3+y^3+3xy.1-6x^2y^2+6x^2y^3\)
\(=x^3+y^3+3xy\left(x+y\right)=\left(x+y\right)^3=1^3=1\)