Rút gọn biểu thức
a) x ( x - y ) + y ( x - y )
b) x^n-1 ( x + y ) - y ( x^n-1 + y^n-1 )
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a) x (x - y) + y (x - y) = x2 – xy+ yx – y2
= x2 – xy+ xy – y2
= x2 – y2
b) xn – 1 (x + y) – y(xn – 1 + yn – 1) =xn+ xn – 1y – yxn – 1 - yn
= xn + xn – 1y - xn – 1y - yn
= xn – yn.
a) x (x - y) + y (x - y) = x2 – xy+ yx – y2
= x2 – xy+ xy – y2
= x2 – y2
b) xn – 1 (x + y) – y(xn – 1 + yn – 1) =xn+ xn – 1y – yxn – 1 - yn
= xn + xn – 1y - xn – 1y - yn
= xn – yn.
Mik viết lại hộ cho :
\(x^{n-1}\).\(\left(x+y\right)-y.\left(x^{n-1}+y^{n-1}\right)\)
a)2x(2x-y)+2y(x-2y)=\(4x^2-2xy+2xy-4y^2=4x^2-4y^2.\)
b)\(x\left(x^{n-1}+y^{n-1}\right)-y^{n-1}\left(x-y\right)\)=\(x^n+y^n-y^n+y^n=x^n+y^n\)
x(x-y)+y(x-y)
= x2-xy+xy-y2
= x2-y2
xn-1(x+y)-y(xn-1+yn-1)
= xn-1+1+xn-1y-xn-1y-y1+n-1
= xn-yn
1.x(x-y)+y(x-y)
=x^2-xy+xy-y^2
=x^2-y^2
2.x^n-1(x-y)-y(x^n-1+y^n-1)
=x^n-x^n-1y+x^n-1y-y^n
=x^n-y^n
a) x (x - y) + y (x - y) = x2 – xy+ yx – y2
= x2 – xy+ xy – y2
= x2 – y2
b) xn – 1 (x + y) – y(xn – 1 + yn – 1) =xn+ xn – 1y – yxn – 1 - yn
= xn + xn – 1y - xn – 1y - yn
= xn – yn.
Bài giải:
a) x (x - y) + y (x - y) = x2 – xy+ yx – y2
= x2 – xy+ xy – y2
= x2 – y2
b) xn – 1 (x + y) – y(xn – 1 + yn – 1) =xn+ xn – 1y – yxn – 1 - yn
= xn + xn – 1y - xn – 1y - yn
= xn – yn.
Bài làm:
a) \(M=90.10^n-10^{n+2}+10^{n+1}\)
\(M=9.10.10^n-10^{n+2}+10^{n+1}\)
\(M=10^{n+1}\left(9-10+1\right)\)
\(M=10^{n+1}.0=0\)
b) \(N=x\left(x+y\right)-y\left(x+y\right)\)
\(N=\left(x-y\right)\left(x+y\right)\)
\(N=x^2-y^2\)
c) \(P=y\left(x^{n-1}+y^{n-1}\right)-x^{n-1}\left(x+y\right)\)
\(P=x^{n-1}y+y^n-x^n-x^{n-1}y\)
\(P=y^n-x^n\)
Học tốt!!!!
a, x(x-y)+y(x-y)
=x2-xy+xy-y2
=x2-y2
b, xn-1(x+y)-y(xn-1+yn-1)
=xn+xn-1y-xn-1y-yn
=xn-yn
Chúc bn học giỏi nhoa!!!
a, x(x-y)+y(x-y)
=x2-xy+xy-y2
=x2-y2