a) \(9x^2-12x+4=\left(3x-2\right)^2\)

b) \(25+10x+x^2=\left(x+5\right)^2\)

c) \(36x^2-25=\left(6x-5\right)\left(6x+5\right)\)

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

a: \(9x^2-12x+4=\left(3x-2\right)^2\)

b: \(x^2+10x+25=\left(x+5\right)^2\)

c: \(36x^2-25=\left(6x-5\right)\left(6x+5\right)\)

a) \(a^9:a^7\cdot\left(a^2\right)^2\)

\(=a^9:a^7\cdot a^4\)

\(=a^2\cdot a^4\)

\(=a^6\)

b) \(\left(ab\right)^6:b^5:b\)

\(=a^6b^6:b^4\)

\(=a^6b^2\)

thanks

\(=\left(-2\right)^6.5^3\)

a)(-8).(-2)^3.125=(-2)^3.(-2)^3.5^3=1^3=1

2:

a: n=5^4

=>n=625

b: n^3=125

=>n^3=5^3

=>n=5

c: 11^n=1331

=>11^n=11^3

=>n=3

\(8^5.16^2.32^4=2^{15}.2^8.2^{20}=2^{43}\)

\(27^5.81^9=3^{15}.3^{36}=3^{51}\)

\(64^3.256^2=2^{18}.2^{16}=2^{34}\)

\(125^3.75^2.105^4=5^9.3^2.5^4.3^4.5^4.7^4=3^6.5^{17}.7^4\)

64³ .256 ² = 2¹⁸ .2¹⁶ = 2^{34
là 643 chứ ạ}

\(a,5\cdot p\cdot5\cdot p\cdot2q\cdot4q\)

\(=5^2\cdot p^2\cdot2\cdot q\cdot2^2\cdot q\)

\(=5^2\cdot2^3\cdot p^2\cdot q^2\)

\(b,a\cdot a+b\cdot b+c\cdot c\cdot c+d\cdot d\cdot d\cdot d\)

\(=a^2+b^2+c^3+d^4\)

#Urushi

`3.5 .15.15  = 3.5.3.5.3.5 = 3^3.5^3`

`2.2.5.2.5 = 2^3 . 5^2`

`1000.10 .10 = 10^3 .10^1 . 10^1 = 10^5`

`a.a.a.b.b.b = a^3 . b^3`

`n.n.n + p.p = n^3 . p^2`

a: =15*15*15=15^3

b: =2^3*5^2

c: =10^3*10^2=10^5

d: =a^3*b^3

e: =n^3+p^2

a)  3.3^4.3^5 = 3^10

b) 7^3 : 7^2 : 7 = 7^0

c) (x^4)^3 = x^12

a) \(3\cdot3^4\cdot3^5=3^{10}\)

b) \(7^3:7^2:7=7^{3-2-1}=7^0\)

c) \(\left(x^4\right)^3=x^{12}\)

Ta có: (-8).(-3)3.(+125)

= (-2)3 . (-3)3 . 53

= [(-2).(-3)]3.53 = 63 . 53

= (6.5)3 = 303