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a) \(ay+by+ax+bx\)
\(=y\left(a+b\right)+x\left(a+b\right)\)
\(=\left(a+b\right)\left(x+y\right)\)
b) \(3xy-6y+2ax-4a\)
\(=3y\left(x-2\right)+2a\left(x-2\right)\)
\(=\left(x-2\right)\left(3y+2a\right)\)
c) sai đề ?
p/s: Trần Quỳnh Phương tên đẹp đấy nhưng lần sau nhớ viết đề cẩn thân hơn nhé!
\(2ax-bx+3cx-2a+b-3c\\ =x\left(2a-b+3c\right)-\left(2a-b+3c\right)\\ =\left(x-1\right)\left(2a-b+3c\right)\)
\(ax-bx-2cx-2a+2b+4c\\ =x\left(a-b-2c\right)-2\left(a-b-2c\right)\\ =\left(x-2\right)\left(a-b-2c\right)\)
\(3ax^2+3bx^2+ax+bx+5a+5b\\ =3x^2\left(a+b\right)+x\left(a+b\right)+5\left(a+b\right)\\ =\left(3x^2+x+5\right)\left(a+b\right)\)
\(ax^2-bx^2-2ax+2bx-3a+3b\\ =x^2\left(a-b\right)-2x\left(a-b\right)-3\left(a+b\right)\\ =\left(x^2-2x-3\right)\left(a+b\right)\\ =\left(x+1\right)\left(x-3\right)\left(a+b\right)\)
\(ax+bx+ay+by\)
\(=x\left(a+b\right)+y\left(a+b\right)\)
\(=\left(x+y\right)\left(a+b\right)\)
\(xy+1-x-y\)
\(=x\left(y-1\right)-\left(y-1\right)\)
\(=\left(x-1\right)\left(y-1\right)\)
a) \(2a^2x-5by-5a^2y+2by\)
\(=3\left(\frac{2}{3}a^2x-\frac{5}{3}a^2y\right)-3by\)
\(=3\left(\frac{2}{3}a^2x-\frac{5}{3}a^2y-by\right)\)
\(2ax^2-bx^2-2ax+bx+4a-2b\)
\(=\left(2ax^2-2ax+4a\right)-\left(bx^2-bx+2b\right)\)
\(=2a\left(x^2-x+2\right)-b\left(x^2-x+2\right)\)
\(=\left(2a-b\right)\left(x^2-x+2\right)\)
Tiếp đi~~
2ax2 - bx2 - 2ax + bx + 4a - 2b
= (2ax2 - 2ax + 4a) - (bx2 - bx + 2b)
= 2a.(x2 - x + 2) - b.(x2 - x + 2)
= (x2 - x + 2).(2a - b)
= (x2 - 2x + x + 2).(2a - b)
= [-x.(x + 2) + (x + 2)].(2a - b)
= (x + 2).(1 - x).(2a - b)
\(ax^2-3axy+bx-3by\\ =x\left(ax+b\right)-3y\left(ax+b\right)\\ =\left(x-3y\right)\left(ax+b\right)\)
\(5x^2y+5xy^2-a^2x-a^2y\\ =5xy\left(x+y\right)-a^2\left(x+y\right)\\ =\left(5xy-a^2\right)\left(x+y\right)\)
\(2ax^3+6ax^2+6ax+18a\\ =2ax^2\left(x+3\right)+6a\left(x+3\right)\\ =2a\left(x^2+3\right)\left(x+3\right)\)
\(10xy^2-5by^2+2ax-ab\\ =5y^2\left(2x-b\right)+a\left(2x-b\right)\\ =\left(5y^2+a\right)\left(2x-b\right)\)
\(ax-bx+cx-3a+3b-3c\\ =x\left(a-b+c\right)-3\left(a-b+c\right)\\ =\left(x-3\right)\left(a-b+c\right)\)
cuu
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