Phan tich da thuc thanh nhan tu:
x3-42-12x+27
phan tich da thuc sau thanh nhan tu
x3-4x2+12x-27
\(x^3-4x^2+12x-27\)
\(=x^3-3x^2-x^2+3x+9x-27\)
\(=x^2\left(x-3\right)-x\left(x-3\right)+9\left(x-3\right)\)
\(=\left(x-3\right)\left(x^2-x+9\right)\)
phan tich da thuc thanh nhan tu
3x^3 +12x^2 +12x
tu de bai suy ra: 3x(x^3+4x+4)=3x(x+2)^2
8x^3-12x^2+6x-1
phan tich da thuc thanh nhan tu chung
cái này dễ mà
= (2x)^3-3(2x)^2*1+2*3x*1^2-1^3
= (2x-1)^3
16y^2-4x^2-12x-9
phan tich da thuc thanh nhan tu chung
\(16y^2-4x^2-12x-9=16y^2-\left(4x^2+12x+9\right)=\left(4y\right)^2-\left(2x+3\right)^2\)\(=\left[4y-\left(2x+3\right)\right]\left(4y+2x+3\right)=\left(4y-2x-3\right)\left(4y+2x+3\right)\)
Phan tich da thuc thanh nhan tu
a) x^2 - 7xy + 10y^2
b) 4x^2 + 12x - 27
c) 81x^4 + 4
d) 3a^2 - 6ab + 3b^2 - 12c^2
e) x^3 + 6x^2 +11x +6
phan tich da thuc thanh nhan tu
a) m^2 -7m +12
b) 2x^4 -x^3 -54x +27
A, m2-7m+12=m2-3m+12-4m=m(m-3)-4(m-3)=(m-4)(m-3)
B, 2x4-x3+27-54x=x3(2-x)-27(2-x)=(x3-27)(2-x)=(x-3)(x2+3x+9)(2-x)
a) m^2 -7m +12 = m^2 -3m -4m +12
=m(m -3)-4 (m- 3)
=(m-4)(m-3)
b) 2x^4-x^3 -54x+ 27
=(2m^4-x^3)- (54x - 27)
=x^3(2x-1)-27(2x-1)
=(x^3-27)(2x-1)
phan tich da thuc thang nhan tu
6^2+12x-8
6x2-5x-3xy+10x
phan tich da thuc thanh nhan tu
\(=6x^2+5x-3xy\)
\(=x\left(6x+5-3y\right)\)
phan tich da thuc thanh nhan tu:x^8+64
x8+64
=(x4)2+16x4+82-16x4
=(x4+8)2-(4x2)2
=(x4+8-4x2)(x4+8+4x2)