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Bài 1: 4a2-4ab+b2-9a2b2
=(2a)2-2.2a.b+b2-(3ab)2
=(2a-b)2-(3ab)2
=(2a-b-3ab)(2a-b+3ab)
a/ (4a2-4ab+b2)-9a2b2
= (2a-b)2-(3ab)2
= (2a-b-3ab) (2a-b+3ab)
\(1a,8x^2y^2-12x^3+6x^2\)
\(=2\left(4x^2y^2-13x^3+3x^2\right)\)
\(b,5x\left(x-y\right)-\left(x-y\right)\)( sai đề hả )
\(=\left(x-y\right)\left(5x-1\right)\)
\(c,4x\left(x-2\right)-\left(2-x\right)^2\)
\(=4x\left(x-2\right)-\left(x-2\right)^2\)
\(=\left(x-2\right)\left(4x-x+2\right)=\left(x-2\right)\left(3x+2\right)\)
\(2,\)\(x\left(x-3\right)-\left(3-x\right)=0\)
\(\Rightarrow x\left(x-3\right)+\left(x-3\right)=0\)
\(\Rightarrow\left(x-3\right)\left(x+1\right)=0\)
\(\Rightarrow\orbr{\begin{cases}x-3=0\\x+1=0\end{cases}\Rightarrow\hept{\begin{cases}x=3\\x=-1\end{cases}}}\)
phần b làm theo đề thôi nhé ko biết đầu bài đúng ko
\(5x\left(x-y\right)-\left(y-y\right)\)
\(=5x\left(x-y\right)\)
HA ha ngắn gọn vãi
a) \(4\left(x^2-y^2\right)+4x+1\)
\(=4x^2-4y^2+4x+1\)
\(=\left[\left(2x\right)^2+2\cdot2x\cdot1+1^2\right]-\left(2y\right)^2\)
\(=\left(2x+1\right)^2-\left(2y\right)^2\)
\(=\left(2x-2y+1\right)\left(2x+2y+1\right)\)
b) \(x^2+1-x^3-x^2\)
\(=1-x^3\)
\(=\left(1-x\right)\left(1+x+x^2\right)\)
b )=x4-2x3-2x3+4x2+4x2-8x-8x+16
=x3(x-2)-2x2(x-2)+4x(x-2)-8(x-2)
=(x-2)(x3-2x2+4x-8)
=(x-2)[x2(x-2)+4(x-2)]
=(x-2)2(x2+4)
a) đề thiếu ko bn?
b) \(x^4-4x^3+8x^2-16x+16=\left(x^4-4x^2\right)-\left(4x^3-12x^2+8x\right)-\left(8x-16\right)\)
\(=x^2\left(x-2\right)\left(x+2\right)-4x\left(x^2-3x+2\right)-8\left(x-2\right)\)
\(=x^2\left(x-2\right)\left(x+2\right)-4x\left(x-2\right)\left(x-1\right)-8\left(x-2\right)\)
\(=\left(x-2\right)\left[x^2\left(x+2\right)-4x\left(x-1\right)-8\right]=\left(x-2\right)\left(x^3-2x^2+4x-8\right)\)
\(=\left(x-2\right)\left[\left(x^3-8\right)-\left(2x^2-4x\right)\right]=\left(x-2\right)\left[\left(x-2\right)\left(x^2+2x+4\right)-2x\left(x-2\right)\right]\)
\(=\left(x-2\right)\left(x-2\right)\left(x^2+2x+4-2x\right)=\left(x-2\right)^2\left(x^2+4\right)\)
a)\(4x^2-y^2+4x+1=\left(4x^2+4x+1\right)-y^2\)
\(=\left(2x+1\right)^2-y^2\)
\(=\left(2x+1-y\right)\left(2x+1+y\right)\)
b)\(x^3-x+y^3-y=\left(x^3+y^3\right)-\left(x+y\right)\)
\(=\left(x+y\right)\left(x^2-xy+y^2\right)-\left(x+y\right)\)
\(=\left(x+y\right)\left(x^2-xy+y^2-1\right)\)
a) x2 + 6x + 9 = x2 + 2 . x . 3 + 32 = (x + 3)2
b) 10x – 25 – x2 = -(-10x + 25 +x2) = -(25 – 10x + x2)
= -(52 – 2 . 5 . x – x2) = -(5 – x)2
c) 8x3 - 1/8 = (2x)3 – (1/2)3 = (2x - 1/2)[(2x)2 + 2x . 12 + (1/2)2]
= (2x - 1/2)(4x2 + x + 1/4)
d)1/25x2 – 64y2 = (1/5x)2(1/5x)2- (8y)2 = (1/5x + 8y)(1/5x - 8y)
phân tích đa thức thành nhân tử:a) 4x3y+1/2yz3
= 2x^(3y+1)/(yz)
b) x9+x8-x-1
= (x-1)(x+1)^2(x^2+1)(x^4+1)
nha bạn
Bài2: phân tích đa thức thành nhân tử
\(a,x^2-y^2-2x+2y\)
\(=\left(x-y\right)\left(y+x-2\right)\)
\(b,x^3-5x^2+x-5\)
\(=x^2\left(x-5\right)+\left(x-5\right)\)
\(=\left(x+x-5\right)\left(x-x-5\right)\)
\(c,x^2-2xy+y^2-9\)
\(=\left(x^2-y^2\right)-3^2\)
\(=\left(x-y+3\right)\left(x-y-3\right)\)
chúc bạn học tốt !
a) A = (3x - 5)(2x + 11) - (2x + 3)(3x + 7)
A = 6x^2 + 33x - 10x - 55 - 6x^2 - 23x - 21
A = -76
b) B = 4x(3x - 2) - 3x(4x + 1)
B = 12x^2 - 8x - 12x^2 - 3x
B = -11x
c) C = (x + 3)(x - 2) - (x - 1)^2
C = x^2 + x - 6 - x^2 + 2x - 1
C = 3x - 7
a) = ( 4x2 + 4x + 1 ) - y2
= ( 2x +1)2 - y2
= ( 2x + 1 - y) ( 2x + 1+ y )
b) = ( x3 + y3) - ( x + y)
= (x + y) (x2+xy+y2) - (x + y)
= ( x +y ) (x2 + xy + y2 - 1 )
a) 4x2 -(y2+4x+1)=(2x)2-(y+1)2+(2x+y+1)(2x-y+1)
b) x3-x+y3-y=(x3-x)(y3-y)+x(x2-1)+y(y2-1)
Tớ chưa chắc câu B0 đúng đâu nhé :)))