b) \(\left(x^2+x+2\right)^2+\left(x-1\right)^2-2\left(x^2+x+2\right)\left(x-1\right)\)

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

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

\(=\left(x^2+3\right)^2\)

P(x) = 4x³ + 3x² - 2x + 5

= (2x³ + x² - 3x + 1) + (2x³ + 2x² + x + 4)

DỂ QUÁ!!!!!!!!!!!!!!!!!!!!!!!!

tui hk biết làm

\(4x^2y^4-\left(3xy^2-1\right)^2\)

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

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

p/s: chúc bạn học tốt

\(x^3-9x^2+27x-27\)

\(=x^3-3x^2.3+3.x.3^2-3^3\)

\(=\left(x-3\right)^3\)

\(27x^6-y^3\)

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

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

\(=\left(3x^2-y\right)\left(9x^4+3x^2y+y^2\right)\)

\(x^2y^2-u^4v^6\)

\(=\left(xy-u^2v^3\right)\left(xy+u^2v^3\right)\)

p/s: chúc bạn học tốt

DỂ QUÁ!!!!!!!!!!!!!!!!!!!!!!!!

tui hk biết làm

\(25x^2y^4+30xy^2z+9x^2\)

\(=\left(5xy^2\right)^2+2.5xy^2.3z+\left(3z\right)^2\)

\(=\left(5xy^2+3z\right)^2\)

Tham khảo nhé~

25x²y⁴ + 30xy²z + 9z²

=(5xy²)² + 2.(5xy²).(3z) + (3z)²

=(5xy²+3z)²

^{K MK NHA !}

cái này là bp của 1 tổng mà bn =\(\left(5xy^2+3z\right)^2\)

(2x + 3y)² +2.(2x +3y) +1

= (2x + 3y + 2)²

^{mk trả lời đầu tiên nhớ k nha!}

\(=10^{1+2+...+20}=10^{210}\)

a) \(\dfrac{9}{4}-3y+y^2\)

\(=\left(\dfrac{3}{2}\right)^2-3y+y^2\)

\(=y^2-2\cdot\dfrac{3}{2}\cdot y+\left(\dfrac{3}{2}\right)^2\)

\(=\left(y-\dfrac{3}{2}\right)^2\)

b) \(x^3+6x^2y+12xy^2+8y^3\)

\(=x^3+6x^2y+12xy^2+\left(2y\right)^3\)

\(=x^3+3\cdot x^2\cdot2y+3\cdot x\cdot\left(2y\right)^2+\left(2y\right)^3\)

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