In the polynomial below what number should replace the question mark to produce a difference of squares? x^2+? x-25 a.0 b.25 c.5 d.10

? = 0

A is correct.

Step-by-step explanation:

Given: Polynomial

We need to make it difference of square.

It is quadratic form.

Difference of square:

For difference of square the x term can't be there.

Thus, The coefficient of x must be 0 for quadratic equation.

coefficient of x must be 0

Hence, The question marks replace by 0 to make equation perfect square.

i think this could be a possible answer (1 / 84) -1

good luck! : d

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation: