Respuesta :

nicole2023276
you use the commutative property. you multiply 4 by 25 first, which is 100, and then you multiply it by 23, which is 2300. 

Answer:  The required answer is 2300.

Step-by-step explanation:  We are given to use properties to find the value of the following product :

[tex]P=4\times23\times25~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]

We will be using the following property :

[tex](a-b)(a+b)=a^2-b^2.[/tex]

Therefore, from (i), we get

[tex]P\\\\=4\times23\times25\\\\=4\times(24-1)\times(24+1)\\\\=4(24^2-1^2)\\\\=4(576-1)\\\\=4\times575\\\\=2300.[/tex]

Thus, the required answer is 2300.