5.

\(4x^5y^2+8x^4y^3+4x^3y^4=4x^3y^2(x^2+2xy+y^2)\)

\(=4x^3y^2(x+y)^2\)

9.

\(4x^5y^2+16x^4y^2-6x^3y^2=2x^3y^2(2x^2+4x-3)\)

13.

\(-3x^4y+6x^3y-3x^2y=-3x^2y(x^2-2x+1)=-3x^2y(x-1)^2\)

17.

\(8x^3-8x^2y+2xy^2=2x(4x^2-4xy+y^2)\)

\(=2x[(2x)^2-2.2x.y+y^2]=2x(2x-y)^2\)

21.

\((a^2+4)^2-16a^2b^2=(a^2+4)^2-(4ab)^2\)

\(=(a^2+4-4ab)(a^2+4+4ab)\)

25.

\(100a^2-(a^2+25)^2=(10a)^2-(a^2+25)^2\)

\(=(10a-a^2-25)(10a+a^2+25)\)

\(=-(a^2-10a+25)(a^2+10a+25)=-(a-5)^2(a+5)^2\)

29.

\(25a^2b^2-4x^2+4x-1=25a^2b^2-(4x^2-4x+1)\)

\(=(5ab)^2-(2x-1)^2=(5ab-2x+1)(5ab+2x-1)\)

a) (4x-1)(2-x)-(2x-1)²

= 8x-4x²-2+x-(4x²-4x+1) = -8x²+13x-3

b) (15x⁴y⁵-30x³y⁴+35x³y⁴):(5x³y³)

= 3xy²-6y+7y = 3xy²+y

a: \(=8x-4x^2-2+2x-4x^2+4x-1\)

\(=-8x^2+14x-3\)

bai nay ai lam duoc goi la thien tai

a. Không làm được vì sai đề bài

b. a - 2b + c = 34

8b/5 - 2b + 8b/3 = 34

24b/15 - 30b/15 + 40b/15 = 510/15

64b/15 - 30b/15 = 510/15

b = 510/15 : 34/15

b = 15

a = 15 * 8/5 = 24

c = 15 * 8/3 = 40 

\(A=4x^2+12x+9\\ B=121x^2-44x+4\\ C=16x^2-9y^2\\ D=4x^2+20x+25\\ E=x^2-12x+36\)

a) (2x)^2 +12x+9

b)(11x)^2 -44x +4

c)48x^2y -36xy^2

d)4x^2 +20x +25

e)x^2 -12x +36

\(\left\{{}\begin{matrix}4x-2y=3\\6x-3y=5\end{matrix}\right.\)

Vì \(\dfrac{4}{6}=\dfrac{-2}{-3}\ne\dfrac{3}{5}\)

nên hệ phương trình vô nghiệm