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Ta có: \(M+\left(5x^2-2y^3\right)=10x^2+4y^3\)
=>\(M=\left(10x^2+4y^3\right)-\left(5x^2-2y^3\right)=10x^2+4y^3-5x^2+2y^3\)
\(=\left(10x^2-5x^2\right)+\left(4y^3+2y^3\right)=5x^2+6y^3\)
Mặt khác \(M+N=8x^2-3y^2\)
\(\Rightarrow N=\left(8x^2-3y^2\right)-M=\left(8x^2-3y^2\right)-\left(5x^2+6y^3\right)\)
\(=8x^2-3y^2-5x^2-6y^3=3x^2-6y^3-3y^2\)
Vậy N=3x2-6y3-3y2
\(3x^2y^4\)-\(5xy^3\)-\(\dfrac{3}{2}x^2y^4\)+\(3xy^3\)+\(2xy^3\)+1=1,5\(x^2y^4\)+1>0
a/ \(\left(4x^2y^3\right)\left(x^ny^7\right)=4x^5y^{10}\)
\(\Leftrightarrow4x^{2+n}y^{3+7}=4x^5y^{10}\)
\(\Rightarrow2+n=5\Rightarrow n=3\)
Vậy \(n=3\)
b/ \(\left(-7x^4y^m\right)\left(-5x^ny^4\right)=35x^9y^{15}\)
\(\Leftrightarrow35x^{4+n}y^{m+4}=35x^9y^{15}\)
\(\Rightarrow\left[{}\begin{matrix}4+n=9\\m+4=15\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}n=5\\m=11\end{matrix}\right.\)
Vậy \(\left\{{}\begin{matrix}m=11\\n=5\end{matrix}\right.\)
a) \(\left(4x^2\times y^3\right)\left(x^n\times y^7\right)=4x^5y^{10}\)
\(\Rightarrow4\times\left(x^2\times x^n\right)\times\left(y^3\times y^7\right)=4x^5y^{10}\)
\(\Rightarrow4x^{2+x}y^{10}=4x^5y^{10}\)
\(\Rightarrow x^{2+n}=x^5\)
\(\Rightarrow2+n=5\)
\(\Rightarrow n=5-2\)
\(\Rightarrow n=3\)
Vậy \(n=3\).
b) \(\left(-7x^4y^m\right)\left(-5x^ny^4\right)=35x^9y^{15}\)
\(\Rightarrow\left[\left(-7\right)\times\left(-5\right)\right]\times\left(x^4\times x^n\right)\times\left(y^m\times y^4\right)=35x^9y^{15}\)
\(\Rightarrow35x^{4+n}y^{m+4}=35x^9y^{15}\)
\(\Rightarrow\left\{{}\begin{matrix}x^{4+n}=x^9\\y^{m+4}=y^{15}\end{matrix}\right.\Rightarrow\left\{{}\begin{matrix}4+n=9\\m+4=15\end{matrix}\right.\Rightarrow\left\{{}\begin{matrix}n=9-4\\m=15-4\end{matrix}\right.\Rightarrow\left\{{}\begin{matrix}n=5\\m=9\end{matrix}\right.\)
Vậy \(m=9\) và \(n=5\).
a, (6x2+9xy-y2) - ( 5x2-2xy)=M
=> M= (6x2+9xy-y2) - ( 5x2-2xy)
=> M= 6x2+9xy-y2 - 5x2+2xy
=> M=(6x2- 5x2)+(9xy+2xy)-y2
=>M= 1x2 + 11xy - y2
Vậy M= 1x2 + 11xy - y2
b, N= (3xy-4y2) - (x2-7xy+8y2)
=> N= 3xy-4y2 - x2+7xy-8y2
=> N= (3xy+7xy)-(4y2+8y2)-x2
=> N= 10xy - 12y2 -x2
Vậy N= 10xy - 12y2 -x2
Chúc bạn học tốt nha!!!
a, M+(5x2-2xy)=6x2+9xy-y2
\(\Rightarrow\)M= (6x2+9xy-y2)-(5x2-2xy)
= 6x2+9xy-y2-5x2+2xy
= (6x2-5x2)+(9xy+2xy)-y2
= x2+11xy-y2
Vậy đa thức M= x2+11xy-y2
b, (3xy-4y2)-N=x2-7xy+8y2
\(\Rightarrow\)N= (3xy-4y2)-(x2-7xy+8y2)
= 3xy-4y2-x2+7xy-8y2
= (3xy+7xy)+(-4y2-8y2)-x2
= 10xy-12y2-x2
Vậy đa thức N=10xy-12y2-x2
a) P + (x2 – 2y2) = x2 – y2 + 3y2 – 1
P = (x2 – y2 + 3y2 – 1) - (x2 – 2y2)
P = x2 – y2 + 3y2 – 1 - x2 + 2y2
P = x2 – x2 – y2 + 3y2 + 2y2 – 1
P = 4y2 – 1.
Vậy P = 4y2 – 1.
b) Q – (5x2 – xyz) = xy + 2x2 – 3xyz + 5
Q = (xy + 2x2 – 3xyz + 5) + (5x2 – xyz)
Q = xy + 2x2 – 3xyz + 5 + 5x2 – xyz
Q = 7x2 – 4xyz + xy + 5
Vậy Q = 7x2 – 4xyz + xy + 5.
a) P+(x2-2y2)= x2-y2+3y2-1
P =(x2-y+3y2-1)-(x2-2y2)
= x2-y+3y2-1-x2+2y2
=(x2-x2)-(y-3y2-2y2)-1
= -4y2-1
b) Q-(5x2-xyz) = xy+2x2-3xyz+5
Q =(xy+2x2-3xyz+5)+(5x2-xyz)
=xy+2x2-3xyz+5+5x2-xyz
=(2x2+5x2)-(3xyz+xyz)+xy+5
=7x2-4xyz+xy+5
Có làm sai mong bạn thông cảm cho!
\(A=\dfrac{4^2}{1.3}+\dfrac{4^2}{3.5}+\dfrac{4^2}{5.8}+...+\dfrac{4^2}{45.47}.\dfrac{1-3-5-...-49}{8}\)
\(A=4\left(\dfrac{4}{1.3}+\dfrac{4}{3.5}+\dfrac{4}{5.8}+...+\dfrac{4}{45.47}\right).\dfrac{1-3-5-...-49}{8}\)\(A=4\left[2\left(1-\dfrac{1}{3}+\dfrac{1}{3}-\dfrac{1}{5}+\dfrac{1}{5}-\dfrac{1}{8}+...+\dfrac{1}{45}-\dfrac{1}{47}\right)\right].\dfrac{1-3-5-...-49}{8}\)\(A=8\left(1-\dfrac{1}{47}\right).\dfrac{1-3-5-...-49}{8}\)
\(A=8\left(1-\dfrac{1}{47}\right).\dfrac{-623}{8}\)
\(A=\dfrac{368}{47}.\dfrac{-623}{8}=\dfrac{-28658}{47}\)
a) \(2x^2-4x+7\)
\(=2\left(x^2-2x+\dfrac{7}{2}\right)\)
\(=2\left(x^2-x-x+\dfrac{7}{2}\right)\)
\(=2\left(x^2-x-x+1+\dfrac{5}{2}\right)\)
\(=2\left[\left(x-1\right)^2+\dfrac{5}{2}\right]\)
\(=2\left(x-1\right)^2+5\)
Vì \(2\left(x-1\right)^2\ge0\Rightarrow2\left(x-1\right)^2+\dfrac{5}{2}\ge\dfrac{5}{2}>0\)
\(\Rightarrow\) đt vô nghiệm.
Mấy câu kia cũng tách tương tự.
" Giữ nguyên hạng tử bậc hai chia đội hạng tử bậc nhất cân bằng hệ số để đạt được tỉ lệ thức"
Chúc bạn học tốt!!!
1/ M + (5x2 - 2y3) = 10x2 + 4x3
=> M = 10x2 + 4x3 - (5x2 - 2y3)
=> M = 10x2 + 4x3 - 5x2 + 2y3
=> M = (10x2 - 5x2) + 4x3 + 2y3
=> M = 5x2 + 4x3 + 2y3
@Hà Thùy Dương