Question

phân tích thành nhân tử

\(\left(2x+1\right)^2-\left(x-1\right)^2\)

\(9\left(x+5\right)^2-\left(x-7\right)^2\)

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

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

\(ax^2+ay-bx^2-by\)

\(x^2-2xy+y^2-xz-yz\)

\(3x^2-8x+4\)

\(4x^2-4x-3\)

\(4x^4+81\)

\(x^2+2xy+y^2-x-y-12\)

Answer 1

\(a,\left(2x+1\right)^2-\left(x-1\right)^2\\ =\left(2x+1-x+1\right)\left(2x+1+x-1\right)\\ =\left(x+2\right)3x\)

\(b,9\left(x+5\right)^2-\left(x-7\right)^2\\ =\left[3\left(x+5\right)\right]^2-\left(x-7\right)^2\\ =\left(3x+15-x+7\right)\left(3x+15+x-7\right)\\ =\left(2x+22\right)\left(4x+8\right)\)

\(c,x^2y+xy^2-x-y\\ =xy\left(x+y\right)-\left(x+y\right)\\ =\left(x+y\right)\left(xy-1\right)\)

Các câu sau tương tự