Question

Please help me !!!

Answer 1

$23)~75r^2-48=3(25r^2-16)=3(5r-4)(5r+4)\\\\ 24)~45x^2-5=5(9x^2-1)=5(3x-1)(3x+1)\\\\ 25)~m^3n-mn^3=mn(m^2-n^2)=mn(m-n)(m+n)\\\\ 26)~6a^3-24ab^2=6a(a^2-4b^2)=6a(a-2b)(a+2b)\\\\ 27)~3x^2+15x-72=3(x^2+5x-24)=3(x-3)(x+8)\\\\ 28)~2m^2-4m+2=2(m^2-2m+1)=2(m-1)^2\\\\ 29)~x^3+9x^2-52x=x(x^2+9x-52)=x(x-4)(x+13)\\\\ 30)~4y^3+4y^2-120y=4y(y^2+y-30)=4y(y-5)(y+6)$

Answer 2

#23
Take out a GCF of 3(25x^2-16)
3(5x-4)(5x+4)
#24
Take out GCF of 5
5(9x^2-1)
5(3x-2)(3x+1)
#25
GCF mn(m^2-n^2)
mn(m-n)(m+n)
#26
6a(a-2b)(a+2b)
#27
3(x+8)(x-3)
#28
2(m-1)(m-1)
#29
x(x-4)(x+13)
#30
4y(y+6)(y-5)