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5 tháng 9 2017
a) Có x = 99 => x+1 = 100
A = x5 - (x+1)x4 + (x+1)x3 + (x+1)x2 + (x+1)x - 9
= x5 - x5 + x4 - x4 + x3 - x3 + x2 - x2 + x - 9
= x - 9
=> A = 90
b) Chữa đề: x6 - 20x5 - 20x4 - 20x3 - 20x2 - 20x + 3
Có: x = 21 => x-1 = 20
B = x6 - (x-1)x5 - (x-1)x4 - (x-1)x3 - (x-1)x2 - (x-1)x + 3
= x6 - x6 + x5 - x5 + x4 - x4 + x3 - x3 + x2 - x + 3
= x + 3
=> B = 24
OP
9 tháng 8 2016
\(\left(2x+1\right)^2-4\left(x+2\right)^2=9\)
\(\left(2x+1\right)^2-\left[2\times\left(x+2\right)\right]^2=9\)
\(\left[\left(2x+1\right)-2\times\left(x+2\right)\right]\left[\left(2x+1\right)+2\times\left(x+2\right)\right]=9\)
\(\left(2x+1-2x-4\right)\left(2x+1+2x+4\right)=9\)
\(\left(-3\right)\left(4x+5\right)=9\)
\(4x+5=\frac{9}{-3}\)
\(4x+5=-3\)
\(4x=-3-5\)
\(4x=-8\)
\(x=-\frac{8}{4}\)
\(x=-2\)
***
\(3\left(x-1\right)^2-3x\left(x-5\right)=21\)
\(3\times\left[\left(x-1\right)^2-x\left(x-5\right)\right]=21\)
\(x^2-2x+1-x^2+5x=\frac{21}{3}\)
\(3x+1=7\)
\(3x=7-1\)
\(3x=6\)
\(x=\frac{6}{3}\)
\(x=2\)
***
\(\left(x+3\right)^2-\left(x-4\right)\left(x+8\right)=1\)
\(\left(x^2+2\times x\times3+3^2\right)-\left(x^2+8x-4x-32\right)=1\)
\(x^2+6x+9-x^2-8x+4x+32=1\)
\(2x=1-9-32\)
\(2x=-40\)
\(x=-\frac{40}{2}\)
\(x=-20\)
11 tháng 7 2017
\(\left(x-3\right)\left(x^2+3x+9\right)-x\left(x-4\right)\left(x+4\right)=21\)
\(\Rightarrow x\left(x^2+3x+9\right)-3\left(x^2+3x+9\right)-\left(x^2-4x\right)\left(x+4\right)=21\)
\(\Rightarrow x\left(x^2+3x+9\right)-3\left(x^2+3x+9\right)-x^2\left(x+4\right)+4x\left(x+4\right)=21\)
\(\Rightarrow x^3+3x^2+9x-3x^2-9x-27-x^3-4x^2+4x^2+16x=21\)
\(\Rightarrow\left(x^3-x^3\right)+\left(3x^2-3x^2\right)+\left(9x-9x\right)+\left(4x^2-4x^2\right)-27+16x=21\)\(\Rightarrow-27+16x=21\)
\(\Rightarrow16x=48\Rightarrow x=3\)
11 tháng 7 2017
giải
(x-3)(x^2+3x+9)-x(x-4)(x+4)=21
x^3+3x^2+9x-3x^2-9x-27-x(x^2-16)=21
x^3+3x^2+9x-3x^2-9x-27-x^3+16x=21
16x-27=21
16x=21+27
16x=48
x=48:16=3.vậy x=3
chúc bạn học tốt
có câu gì khó cứ hỏi mik nha
NC
28 tháng 9 2020
a) \(14\left(x-y\right)^2+21\left(y-x\right)\)
\(=14\left(x-y\right)^2-21\left(x-y\right)\)
\(=7\left(x-y\right)\left[2\left(x-y\right)-3\right]\)
\(=7\left(x-y\right)\left(2x-2y-3\right)\)
b) \(7x^5\left(y-3\right)-49x^4\left(3-y\right)^3\)
\(=7x^4\left(y-3\right)\left[x+7\left(y-3\right)^2\right]\)
\(=7x^4\left(y-3\right)\left(x+7y^2-42y+63\right)\)
NC
28 tháng 9 2020
c) \(\left(x^2-9\right)^2-x^2\left(x-3\right)^2\)
\(=\left(x-3\right)^2\left(x+3\right)^2-x^2\left(x-3\right)^2\)
\(=\left(x-3\right)^2\left[\left(x+3\right)^2-x^2\right]\)
\(=\left(x-3\right)^2\left(x^2+6x+9-x^2\right)\)
\(=3\left(x-3\right)^2\left(x+3\right)\)
d) \(\left(4x^2-1\right)^2-9\left(2x-1\right)^2\)
\(=\left(2x-1\right)^2\left(2x+1\right)^2-9\left(2x-1\right)^2\)
\(=\left(2x-1\right)^2\left[\left(2x+1\right)^2-9\right]\)
\(=\left(2x-1\right)^2\left(4x^2+4x+1-9\right)\)
\(=4\left(2x-1\right)^2\left(x^2+x-2\right)\)
\(=4\left(2x-1\right)^2\left(x-1\right)\left(x+2\right)\)
NQ
4
11 tháng 7 2017
a ) \(\left(x-3\right)\left(x^2+3x+9\right)-x\left(x-4\right)\left(x+4\right)=21\)
\(\Leftrightarrow x^3-27-x\left(x^2-16\right)=21\)
\(\Leftrightarrow x^3-27-x^3+16x=21\)
\(\Leftrightarrow16x=48\)
\(\Leftrightarrow x=3\)
Vậy \(x=3.\)
b ) \(\left(x+2\right)\left(x^2-2x+4\right)-x\left(x^2+2\right)=4\)
\(\Leftrightarrow x^3+8-x^3-2x=4\)
\(\Leftrightarrow-2x=-4\)
\(\Leftrightarrow x=2\)
Vậy \(x=2.\)
Do quãng cáo sữa mà phải làm đi làm lại mấy lần .
11 tháng 7 2017
\(\left(x-3\right)\left(x^2+3x+9\right)-x\left(x-4\right)\left(x+4\right)=21\)
\(\Rightarrow\left(x-3\right)\left(x^2+3x+9\right)-\left(x^2-4x\right)\left(x+4\right)=21\)
\(\Rightarrow x^3+3x^2+9x-3x^2-9x-27-x^3-4x^2+4x^2+16x=21\)
\(\Rightarrow16x-27=21\Rightarrow16x=48\Rightarrow x=3\)
\(\left(x+2\right)\left(x^2-2x+4\right)-x\left(x^2+2\right)=4\)
\(\Rightarrow x^3-2x^2+4x+2x^2-4x+8-x^3-2x=4\)
\(\Rightarrow8-2x=4\Rightarrow2x=4\Rightarrow x=2\)
~12,78
\(=\dfrac{5x+15+4x-12-x+21}{\left(x-3\right)\left(x+3\right)}=\dfrac{8x+24}{\left(x-3\right)\left(x+3\right)}=\dfrac{8}{x-3}\)