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A + B - C = \(x^2-2x\)\(+3xy^2-x^2y+x^2y^2\)\(+\left(-2x^2\right)+3y^2-5x+y+3\)\(-\left(3x^2-2xy+7y^2-3x-5y-6\right)\)
= \(x^2-2x+3xy^2-x^2y+x^2y^2-2x^2+3y^2-5x+y+3-3x^2+2xy-7y^2+3x+5y+6\)
= \(-4x^2+3xy^2-4x-4y^2+6y+2xy+9\)
A-B+C=\(x^2-2x+3xy^2-x^2y+x^2y^2\)\(-\left(-2x^2+3y^2-5x+y+3\right)\)\(+3x^2-2xy+7y^2-3x-5y-6\)
= \(x^2-2x+3xy^2-x^2y+x^2y^2+2x^2-3y^2+5x-y-3\)\(+3x^2-2xy+7y^2-3x-5y-6\)
= \(6x^2+3xy^2+4y^2-2xy-6y-9\)
-A+B+C =\(-\left(x^2-2x+3xy^2-x^2y+x^2y^2\right)\)\(-2x^2+3y^2-5x+y+3+3x^2-2xy+7y^2\)\(-3x-5y-6\)
= \(-x^2+2x-3xy^2+x^2y-x^2y^2\)\(-2x^2+3y^2-5x+y+3\)\(+3x^2-2xy+7y^2-3x-5y-6\)
= \(-6x+10y^2-3xy^2-4y-2xy-3\)
còn bậc cậu tự tìm nha bậc để mà
a) \(A+B+C=\)\(\left(4x^2-5xy+3y^2\right)\)\(+\left(3x^2+2xy+y^2\right)\)\(+\left(2y^2+3xy-x^2\right)\)
\(=4x^2-5xy+3y^2\)\(+3x^2+2xy+y^2\)\(+2y^2+3xy-x^2\)
\(=\left(4x^2+3x^2-x^2\right)+\)\(\left(-5xy+2xy+3xy\right)+\)\(\left(3y^2+y^2+2y^2\right)\)
\(=6x^2+6y^2\)
b)\(B-C-A=\)\(\left(3x^2+2xy+y^2\right)-\left(2y^2+3xy-x^2\right)\)\(\left(\text{4x^2}-5xy+3y^2\right)\)
\(=3x^2+2xy+y^2-2y^2-3xy+x^2-4x^2\)\(+5xy+3y^2\)
\(=\left(-4x^2+3x^2+x^2\right)\)\(+\left(5xy+2xy-3xy\right)\)\(+\left(3y^2+y^2+2y^2\right)\)
\(=4xy+6y^2\)
\(C-A-B=\)\(\left(2y^2+3xy-x^2\right)-\left(4x^2-5xy+3y^2\right)\)\(-\left(3x^2+2xy+y^2\right)\)
\(=2y^2+3xy-x^2-4x^2+5xy-3y^2-3x^2-2xy+y^2\)
\(=\left(-4x^2-3x^2-x^2\right)\)\(+\left(5xy-2xy+3xy\right)\)\(+\left(-3y^2+y^2+2y^2\right)\)
\(=-8x^2+6xy\)
chúc bn học tốt
Bài 1
a)M+N=\(x^2y+xy^2-5x^2y^2+x^3+x^3+xy+3xy^2-x^2y+x^2y^2\)
=4xy2-4x2y2+2x3+xy
b)M-N=\(x^2y+xy^2-5x^2y^2+x^3-x^3-xy-3xy^2+x^2y-x^2y^2\)
=\(2x^2y-2xy^2-xy-6x^2y^2\)
\(2A=2\cdot\left(4x^2-5xy+2x-5y+5y^2\right)\)
\(=8x^2-10xy+4x-10y+10y^2\)
\(3B=3\cdot\left(-3x^2+2xy-5y+y^2\right)\)
\(=-9x^2+6xy-15y+3y^2\)
\(5C=5\cdot\left(-x^2+3xy+2x+2y^2\right)\)
\(-5x^2+15xy+2x+2y^2\)
\(2A+3B\)
\(8x^2-10xy+4x-10y+10y^2-9x^2+6xy-15y+3y^2\)
\(=-x^2-4xy+4x-25y+13y^2\)
\(\left(2A+3B\right)-5C\)
\(=-x^2-4xy+4x-25y+13y^2-\left(\text{}\text{}-5x^2+6xy+10x+10y^2\right)\)
\(=-x^2-4xy+4x-25y+13y^2+5x^2-6xy-10x-10y^2\)
\(=4x^2-10xy-6x-25y+3y^2\)
vậy 2A+3B-5C=\(4X^2-10XY-6X-25Y+3Y^2\)
Ti ck nha