`#3107.101107`

`5x^2y(3x^3 - 4y + 5xy) - 15x^5y + 20x^2y^2`

`= 15x^5y - 20x^2y^2 + 25x^3y^2 - 15x^5y + 20x^2y^2`

`= (15x^5y - 15x^5y) + (-20x^2y^2 + 20x^2y^2) + 25x^3y^2`

`= 25x^3y^2`

_______

`(8x^5y^2 + 4x^3y^3 - 2x^6y^2) \div 2x^3y`

`= 4x^2y + 2y^2 - x^3y`

cái này mik lm ròi mà bạn

https://hoc24.vn/cau-hoi/cho-da-thuc-a-4x3-35x2y2-3x3-35x2y2-7xy-1a-rut-gon-da-thuc-va-tim-bacb-thu-gon-da-thuc.5830672960238

1:

a: \(A=4x^3+3,5x^2y^2-3x^3-3,5x^2y^2-7xy+1\)

\(=\left(4x^3-3x^3\right)+\left(3,5x^2y^2-3,5x^2y^2\right)-7xy+1\)

\(=x^3-7xy+1\)

Bậc là 3

b: \(A=x^3-7xy+1\) đã là đa thức thu gọn rồi nhé bạn

a: \(4x^3-xy^2\)

\(=x\left(4x^2-y^2\right)\)

\(=x\left(2x-y\right)\left(2x+y\right)\)

b: \(5x^3-10x^2+5x\)

\(=5x\left(x^2-2x+1\right)\)

\(=5x\left(x-1\right)^2\)

c: \(4x^2+24x+36-4y^2\)

\(=4\left(x^2+6x+9-y^2\right)\)

\(=4\left(x+3-y\right)\left(x+3+y\right)\)

chị giỏi quá

a: \(3xy^2-3x^3-6xy+3x\)

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

\(=3x\left\lbrack\left(y-1\right)^2-x^2\right\rbrack\)

=3x(y-1-x)(y-1+x)

b: \(3x^2+11x+6\)

\(=3x^2+9x+2x+6\)

=3x(x+3)+2(x+3)

=(x+3)(3x+2)

c: \(-x^3-4xy^2+4x^2y+16x\)

\(=x\left(-x^2-4y^2+4xy+16\right)\)

\(=x\left\lbrack4^2-\left(x^2-4xy+4y^2\right)\right\rbrack\)

\(=x\cdot\left\lbrack4^2-\left(x-2y\right)^2\right\rbrack\)

=x(4-x+2y)(4+x-2y)

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

\(=z\left(x-y\right)-\left(x^2-2xy+y^2\right)\)

=z(x-y)-\(\left(x-y^{}\right)^2\)

=(x-y)(z-x+y)

e: \(4x^2-y^2-6x+3y\)

=(2x-y)(2x+y)-3(2x-y)

=(2x-y)(2x+y-3)

\(5x^2y-4xy^2+5x-3-xyz+4x^2y-xy^2-5x+\dfrac{1}{2}\\ =\left(5x^2y+4x^2y\right)-\left(4xy^2+xy^2\right)+\left(5x-5x\right)-xyz-\left(3-\dfrac{1}{2}\right)\\ =9x^2y-5xy^2-xyz+\dfrac{5}{2}\)

Bậc là 3

Bậc của đa thức B là 3

a)\(A=x^3+7xy+1\)

bậc : 3

a: \(A=x^3+7xy+1\)

bậc là 3

b: \(A=x^3+7xy+1\)

a: \(A=x^3+7xy+1\)

bậc là 3

b: \(A=x^3+7xy+1\)

a)\(A=x^3-7xy+1\)

bậc :3

b)\(A=x^3-7xy+1\)

d. 2x²(x - y) + 2y(y - x)

= 2x²(x - y) - 2y(x - y)

= (2x² - 2y)(x - y)

= 2(x² - y)(x - y)

e. 5a²b(a - 2b) - 2a(2b - a)

= 5a²b(a - 2b) + 2a(a - 2b)

= (5a²b + 2a)(a - 2b)

= a(5ab + 2)(a - 2b)

f. 4x²y(x - y) + 9xy²(x - y)

= (4x²y + 9xy²)(x - y)

= xy(4x + 9y)(x - y)

g. 50x²(x - y)² - 8y²(y - x)²

= 50x²(x² - 2xy + y²) - 8y²(y² - 2xy + x²)

= 50x²(x² - 2xy + y²) - 8y²(x² - 2xy + y²)

= 50x²(x - y)² - 8y²(x - y)²

= (50x² - 8y²)(x - y)²

= 2(25x² - 4y²)(x - y)².

Cảm ơn bạn