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\(x^3+9x^2+6x-16\)
\(=x^3+x^2-2x+8x^2+8x-16\)
\(=x\left(x^2+x-2\right)+8\left(x^2+x-2\right)\)
\(=\left(x^2+x-2\right)\left(x+8\right)\)
\(=\left(x^2-x+2x-2\right)\left(x+8\right)\)
\(=\left[x\left(x-1\right)+2\left(x-1\right)\right]\left(x+8\right)\)
\(=\left(x-1\right)\left(x+2\right)\left(x+8\right)\)
\(x^3-9x^2+6x+16=\left(x^3+x^2\right)-\left(10x^2+10x\right)+\left(16x+16\right)\)
\(=x^2.\left(x+1\right)-10x\left(x+1\right)+16\left(x+1\right)\)
\(=\left(x+1\right).\left(x^2-10x+16\right)\)
\(=\left(x+1\right).\left[\left(x^2-8x\right)-\left(2x-16\right)\right]\)
\(=\left(x+1\right)\left[x\left(x-8\right)-2\left(x-8\right)\right]\)
\(=\left(x+1\right)\left(x-2\right)\left(x-8\right)\)
\(a.\left(xy+yz\right)-\left(5x+5z\right)\)
\(=y\left(x+z\right)-5\left(x+z\right)\)
\(=\left(x+z\right)\left(y-5\right)\)
\(b.\left(x^2+2xy+y^2\right)-9x^2\)
\(=\left(x+y\right)^2-9x^2\)
\(=\left(x+y-3x\right).\left(x+y+3x\right)\)
\(=\left(y-2x\right).\left(y+4x\right)\)
a. Đề=\(y\left(x+z\right)-5\left(x+z\right)\)\(=\left(x+z\right)\left(y-5\right)\)
b. Đề=\(\left(x+y\right)^2-\left(3x\right)^2\)\(=\left(x+y-3x\right)\left(x+y+3x\right)\)\(=\left(y-2x\right)\left(y+4x\right)\)
\(=x^3+3x^2-7x^2-21x+12x+36\)
\(=x^2\left(x+3\right)-7x\left(x+3\right)+12\left(x+3\right)\)
\(=\left(x+3\right)\left(x^2-7x+12\right)\)
\(=\left(x+3\right)\left(x^2-4x-3x+12\right)\)
\(=\left(x+3\right)[x\left(x-4\right)-3\left(x-4\right)]\)
\(=\left(x+3\right)\left(x-4\right)\left(x-3\right)\)
\(\left(a\right)\left(x^2+x\right)^2+9x^2+9x+14\)
\(\text{ Phân tích thành nhân tử}\)
\(\left(x^2+x+2\right)\left(x^2+x+7\right)\)
\(\left(b\right)x^2+2xy+y^2+2x-2y-3\)
\(\text{ Phân tích thành nhân tử}\)
\(y^2+2xy-3y+x^2+2x-3\)
Xong rùi đấy !
\(x^2y-x^3-9y+9x\)
\(=\left(x^2y-x^3\right)-\left(9y-9x\right)\)
\(=x^2.\left(y-x\right)-9.\left(y-x\right)\)
\(=\left(x^2-9\right).\left(y-x\right)\)
\(=\left(x^2-3^2\right).\left(y-x\right)\)
\(=\left(x-3\right).\left(x+3\right).\left(y-x\right)\)
x3 + 7x - 6=x2 . x + 7x - 22 + 2 = (x2 - 22) + (x+7x)+2=(x-2) . (x+2) + 8x + 2
x3 - 5x + 8x - 4=x2 . x -5x + 8x -22 = (x2 - 22) . (x -5x + 8x )=(x-2) . (x+2) . 4x
x3 - 9x2 + 6x + 16=x2 . x - 9x2 + 6x + 16 = (x2 - 9x2) . (x+6x) + 16=(x-9x) . (x+9x) . 7x + 16
k mk nha
a) 12x3 + 4x2 + 9x + 3 = 4x2(3x + 1) + 3(3x + 1) = (4x2 + 3)(3x + 1)
b) x3 + 2x2 - x - 2 = x2(x + 2) - (x + 2) = (x2 - 1(x + 2) = (x - 1)(x + 1)(x + 2)
c) a3 + (a - b)3 = (a + a - b)[a2 - a(a - b) + (a - b)2] = (2a - b)(a2 - a2 + ab + a2 - 2ab + b2)
= (2a - b)(a2 - ab + b2)
a) 12x3 + 4x2 + 9x + 3
= 4x2(3x + 1) + 3(3x + 1)
= (4x2 + 3)(3x + 1)
b) x3 + 2x2 - x - 2
= x2(x + 2) - (x + 2)
= (x2 - 1)(x + 2)
c) a3 + (a - b)3
= a3 - a2(a - b) + a(a - b)2 + (a - b)a2 - (a - b)2a + (a - b)3
= a[(a2 - a(a - b) + (a - b)2] + (a - b)[a2 - a(a - b) + (a - b)2]
= (a + a - b)[(a2 - a(a - b) + (a - b)2]
A=\(x^2-9x\)
\(=x\cdot x-x\cdot9\)
=x(x-9)