tham khảo

​x mũ 2➕4➖y mũ 2➖4x

=(x²+4x+4)-y²

=(x+2)²-y²

=(x+2+y)(x+2-y)

Em mới học lớp 7

sory em mới học lớp 7

x²-7x+6

=x²-6x-x+6

=x(x-6)-(x-6)

=(x-1)(x-6)

x²-7x+6

=x²-6x-x+6

=x(x-6)-(x-6)

=(x-1)(x-6)

\(x^2-3x+xy-3y\\=(x^2-3x)+(xy-3y)\\=x(x-3)+y(x-3)\\=(x-3)(x+y)\)

\(a,x^2+7x+7y-y^2\)

\(=x^2-y^2+7\left(x+y\right)\)

\(=\left(x-y\right)\left(x+y\right)+7\left(x+y\right)\)

\(=\left(x+y\right)\left(x-y+7\right)\)

\(b,x^2-2x-9y^2+6y\)

\(=x^2-\left(3y\right)^2-2\left(x-3y\right)\)

\(=\left(x-3y\right)\left(x+3y\right)-2\left(x-3y\right)\)

\(=\left(x-3y\right)\left(x+3y-2\right)\)

\(c,x^2-xy+x^3-3x^{2y}+3x^{2y}-y^3\)

\(=x\left(x-y\right)+\left(x-y\right)\left(x^2+xy+y^2\right)\)

\(=\left(x-y\right)\left(x+x^2+xy+y^2\right)\)

sos

\(-x^2+6x+6y+y^2\\=-(x^2-6x+9)+(y^2+6y+9)\\=-(x-3)^2+(y+3)^2\\=(y+3)^2-(x-3)^2\\=[(y+3)-(x-3)][(y+3)+(x-3)]\\=(y+3-x+3)(y+3+x-3)\\=(y-x+6)(x+y)\)

a) \(81-\left(3x+2\right)^2=9^2-\left(3x+2\right)^2=\left(9-3x-2\right)\left(9+3x+2\right)=\left(7-3x\right)\left(11+3x\right)\)

b) \(\left(7x-4\right)^2-\left(2x+1\right)^2=\left(7x-4-2x-1\right)\left(7x-4+2x+1\right)\)

\(=\left(5x-5\right)\left(9x-3\right)=15\left(x-1\right)\left(3x-1\right)\)

c) \(9\left(x-5y\right)^2-16\left(x+y\right)^2=\left[3\left(x-5y\right)-4\left(x+y\right)\right]\left[3\left(x-5y\right)+4\left(x+y\right)\right]\)

\(=\left(-x-19y\right)\left(7x-11y\right)\)

\(225-4x^2-4xy-y^2\\=225-(4x^2+4xy+y^2)\\=225-[(2x)^2-2\cdot2x\cdot y+y^2]\\=15^2-(2x-y)^2\\=[15-(2x-y)][15+(2x-y)]\\=(15-2x+y)(15+2x-y)\)