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thầy cô, các anh chị, mọi ng giúp mk với. mk cần gấp
a) Ta có: \(3x^2-6xy+3y^2\)
\(=3\left(x^2-2xy+y^2\right)\)
\(=3\left(x-y\right)^2\)
b) Ta có: \(12x^5y+24x^4y^2+12x^3y^3\)
\(=12x^3y\left(x^2+2xy+y^2\right)\)
\(=12x^3y\left(x+y\right)^2\)
c) Ta có: \(64xy-96x^2y+48x^3y-8x^4y\)
\(=8xy\left(8-12x+6x^2-x^3\right)\)
\(=8xy\left(2-x\right)^3\)
d) Ta có: \(54x^3+16y^3\)
\(=2\left(27x^3+8y^3\right)\)
\(=2\left(3x+2y\right)\left(9x^2-6xy+4y^2\right)\)
\(\text{a) }x^3y^3+x^2y^2+4\)
\(=x^3y^3+2x^2y^2-x^2y^2+4\)
\(=\left(x^3y^3+2x^2y^2\right)-\left(x^2y^2-4\right)\)
\(=x^2y^2\left(xy+2\right)-\left(xy+2\right)\left(xy-2\right)\)
\(=\left(xy+2\right)\left(x^2y^2-xy+2\right)\)
\( {c)}\)\(x^4+x^3+6x^2+5x+5\)
\(=\left(x^4+x^3+x^2\right)+\left(5x^2+5x+5\right)\)
\(=x^2\left(x^2+x+1\right)+5\left(x^2+x+1\right)\)
\(=\left(x^2+x+1\right)\left(x^2+5\right)\)
\({d)}\)\(x^4-2x^3-12x^2+12x+36\)
\(=\left(x^4-2x^3-6x^2\right)-\left(6x^2-12x-36\right)\)
\(=x^2\left(x^2-2x-6\right)-6\left(x^2-2x-6\right)\)
\(=\left(x^2-2x-6\right)\left(x^2-6\right)\)
Câu b sai đề thì phải ah
a, x4 . 1 - 2 . 3 . x3 + 3 . 4 . x3 - 2 . 7 . x + 3
= bó tay
Giải:
3x2- 9x2+12x2y2 = 3x2(1-3+4y2)
x2yz+xy2z+xyz2 = xyz(x+y+z)
ax+ay = a(x+y)
2x+4y2 = 2(x+2y2)
2x2+6x = 2x(x+3)
5x10-10x6 = 5x6(x4-2)
bx2-by = b(x2-y)
10xy2 -10x2y3 = 10xy2(1-xy2)
64xy-96x2y+48x3y-8x4y = 8xy(8-12x+6x2-x2)
17x3y-34x2y2 = 17x2y(x-2y2)
12x2-18xy2-30y3 = 6(2x2-3xy2-5y3)
7x+7y = 7(x+y)
a2x+a2y = a2(x+y)
36x6y4-27x5y5 = 9x5y4(4x-3y)
6x4-9x3 = 3x3(2x-3)
5x2y-15x2y2 = 5x2y(1-3y)
abc2+a2bc-ab2c = abc(c+a-b)
Chúc bạn học tốt!
Bài 2:
a: \(A=a^2+b^2+c^2+2ab-2ac-2bc+a^2+b^2+c^2-2ab-2bc+2ac\)
\(=2a^2+2b^2+2c^2-4bc\)
\(=2+2\cdot9+2\cdot1-4\cdot3\cdot\left(-1\right)=22+12=34\)
b: \(B=\left(a+b-a+b\right)\left(a+b+a-b\right)=4ab=4\cdot2\cdot5=40\)
c: \(5\left(a+b\right)+x\left(a+b\right)\)
=(a+b)(x+5)
d: \(\left(a-b\right)^2-\left(b-a\right)\)
\(=\left(a-b\right)^2+\left(a-b\right)\)
=(a-b)(a-b+1)
e: \(=\left(12x^2+6x\right)\left(y+z+y-z\right)\)
\(=2y\cdot6x\cdot\left(2x+1\right)=12xy\left(2x+1\right)\)
1) \(6x^2.\left(m-n\right)-8x^3.\left(m-n\right)=x^2.\left(m-n\right)\left(6-8x\right).\)
2) \(24x^3y^4.\left(a+b\right)-12x^2y^5.\left(a+b\right)=12x^2y^4.\left(a+b\right).\left(2x-y\right)\)
3) \(21x^2y^3.\left(a+b\right)^3-14x^3y^5.\left(a+b\right)^2=7x^2y^3.\left(a+b\right)^2\left(3a+3b-2xy^2\right)\)