Question

Place the indicated product in the proper location on the grid. (5c +2/3 )(5c -2/3 )

Answer 1

Answer:

The product of the polynomial $\left(5c+\frac{2}{3}\right)\left(5c-\frac{2}{3}\right)=25c^2-\frac{4}{9}$    

Step-by-step explanation:

given : The polynomial $\left(5c+\frac{2}{3}\right)\left(5c-\frac{2}{3}\right)$

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

Consider the given polynomial  $\left(5c+\frac{2}{3}\right)\left(5c-\frac{2}{3}\right)$

Apply identity of difference of square

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

We have,

$=\left(5c\right)^2-\left(\frac{2}{3}\right)^2$

Simplify, we have,

$=25c^2-\frac{4}{9}$

Thus, The product of the polynomial $\left(5c+\frac{2}{3}\right)\left(5c-\frac{2}{3}\right)=25c^2-\frac{4}{9}$

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.