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( x2 + 8x - 34)2 - ( 3x2 - 8x + 2)2
=> x4 + 8x2 - 342 - 3x4 + 8x2 - 22
=> x4( 1 - 4 ) + ( 8x2 - 8x2 ) + ( 342 - 22 )
-3x4 + 0 + 1152
= -3x4 + 1152
Lk t nhá, Michiel na`h, h pải dùng nik ko có tn
\(Q=\)\(1+\frac{x+3}{x^2+5x+6}:\left(\frac{8x^2}{4x^3-8x^2}-\frac{3x}{3x^2-12}-\frac{1}{x+2}\right)\)
\(Q=1+\frac{x+3}{x^2+3x+2x+6}:\left[\frac{8x^2}{4x^2\left(x-2\right)}-\frac{3x}{3\left(x^2-4\right)}+\frac{x-2}{\left(x+2\right)\left(x-2\right)}\right]\)
\(Q=1+\frac{x+3}{\left(x+3\right)\left(x+2\right)}:\left[\frac{2}{x-2}-\frac{x}{\left(x-2\right)\left(x+2\right)}+\frac{x-2}{\left(x+2\right)\left(x-2\right)}\right]\)
\(Q=1+\frac{1}{x+2}:\left[\frac{2\left(x+2\right)}{\left(x-2\right)\left(x+2\right)}-\frac{x+x-2}{\left(x-2\right)\left(x+2\right)}\right]\)
\(Q=1+\frac{1}{x+2}:\left[\frac{2x+4-2x+2}{\left(x-2\right)\left(x+2\right)}\right]\)
\(Q=1+\frac{1}{x+2}:\frac{6}{\left(x-2\right)\left(x+2\right)}\)
\(Q=1+\frac{1}{x+2}.\frac{\left(x-2\right)\left(x+2\right)}{6}\)
\(Q=1+\frac{x-2}{6}\)
\(Q=\frac{6+x-2}{6}\)
\(Q=\frac{x+4}{6}\)
b) khi \(Q=0\)thì \(\frac{x+4}{6}=0\)
\(\Rightarrow x+4=0\)
\(\Rightarrow x=-4\)
vậy \(x=-4\)khi \(Q=0\)
c) khi \(Q>0\)thì \(\frac{x+4}{6}>0\)
\(\Rightarrow x+4>0\)
\(\Leftrightarrow x>-4\)
vậy \(x>-4\)thì \(Q>0\)
TL:
B = x15 - 8x14 + 8x13 - 8x2 + ... - 8x2 + 8x - 5
B = x15 - 7x14 -x14+7x13+x^13-7x12-...-x2+7x+x-5
B = x14(x-7) - x14(x-7) +...+x2(x-7)-x(x-7)+x-5
B = 7-5
B =2
mik tra mạng nên chỉ bt thế thôi :))
HT
\(B=x^{15}-8x^{14}+8x^{13}+.....-8x^2+8x-..5\)
\(B=x^{15}-7x^{14}-x^{14}+7x^{13}+x^{13}-7x^{12}-....-x^2+7x+x-5\)
\(B=x^{14}\left(x-7\right)-x^{14}\left(x-7\right)+.....+x^2\left(x-7\right)-x\left(x-7\right)+x-5\)
\(B=7-5\)
\(B=2\)
(8x - 1)(2x - 3)) - (-x + 7)(x - 2) - 6x(x2 - x + 3) + (x2 - 3)(x - 4)
= 16x2 - 26x + 3 + x2 - 9x + 14 - 6x3 + 12x2 - 18x + x3 - 4x2 - 3x + 12
= -5x3 + 25x2 - 56x + 29
(8x - 1) (2x - 3) - (-x + 7)(x - 2) - 6x (x2 - x + 3) + (x2 - 3)(x - 4)
= 16x2-24x-2x-3+x2-2x-7x+14-6x3+6x-18x+x3-4x2-3x+12
=7x3+13x2-36x+23
câu 1
a, 5x - x 2 + 2xy - 5y
= 5x - x 2 + xy + xy - 5y
= ( 5x - 5y ) - ( x2 - xy ) + xy
= 5 ( x-y ) - x(x-y ) + xy
= (5-x) ( x-y) + xy
mik làm dc mỗi câu a !
x2 – 8x – 33
= x2 – 11x + 3x - 33
= (x2 – 11x ) + ( 3x - 33)
= x ( x - 11) + 3(x-11)
= ( x+ 3 ) ( x-11)
TL
x2 - 8x - 33
= x2 - 11x + 3x - 33
= ( x2 - 11x ) + ( 3x - 33 )
= x . ( x - 11) + 3 . ( x - 11 )
= ( x - 11 ) . ( x + 3 )