Question

Place the indicated product in the proper location on the grid.

(5c +2/3 )(5c -2/3 )

Answer 1

The product of the polynomial
`\left(5c+(2)/(3)\right)\left(5c-(2)/(3)\right)=25c^2-(4)/(9)`

Explanation:

given : The polynomial
`\left(5c+(2)/(3)\right)\left(5c-(2)/(3)\right)`

We have to place the indicated product in the proper location o the grid.

Consider the given polynomial
`\left(5c+(2)/(3)\right)\left(5c-(2)/(3)\right)`

Apply identity of difference of square

`\left(a+b\right)\left(a-b\right)=a^2-b^2`

We have,

`=\left(5c\right)^2-\left((2)/(3)\right)^2`

Simplify, we have,

`=25c^2-(4)/(9)`

Thus, The product of the polynomial
`\left(5c+(2)/(3)\right)\left(5c-(2)/(3)\right)=25c^2-(4)/(9)`

Location on gris shown below.

Answer 2

Answer
25c^2-4/9



Explanation
In this question you are expected to expand (5c+2/3)(5c-2/3)
(5c+2/3)(5c-2/3)=(5c×5c)-(5c×2/3)+(5c×2/3)-(2/3×2/3)
=25c^2-10c/3+10c/3-4/9
25c^2-4/9
The expanded form of (5c+2/3)(5c-2/3) is 25c^2-4/9 and this is what the question requires of you to do.