Princess poly says that the product of (74x+94i) and (74x−94i) is (4916x2+8116). which statement is true regarding her product? her product is not correct. the expression (74x+94i)(74x−94i) can be written as the difference of squares (74x)2−(94i)2, which is equal to 4916x2−8116. her product is not correct. the expression (74x+94i)(74x−94i) can be written as the difference of squares (74x)2−(32i)2, which is equal to 4916x2−94. her product is not correct. the expression (74x+94i)(74x−94i) can written as the difference of squares (74x)2−(32i)2, which is equal to 4916x2−94. her product is correct. the expression (74x+94i)(74x−94i) can be written as the difference of squares (74x)2−(94i)2, which is equal to 4916x2+8116.

As you must know that (a + bi) and (a-bi) are complex numbers,each being conjugate of each other.

The meaning of conjugate is change the sign of the number preceding imaginary part.

In a+bi ,bi being the imaginary part .  It has positive sign before it .so just change the sign to -(negative) .So a-bi is the conjugate of a+bi. Similarly a+bi is the conjugate of a-bi.

Now com to the product of two complex number which are conjugate of each other.

(a+bi)(a-bi)=

                 =

So product of (74 x +94 i) and (74 x-94 i) which are conjugate of each other , their product will be

=

The expression (74x+94i)(74x−94i) can be written as the difference of squares (74x)2−(94i)2, which is equal to 4916x2+8116.

This statement is true for Princess Poly Regarding her product of (74x+94i) and (74x−94i).

Solution:

(74x + 94i) x (74x - 94i)

can be written as (74x)² - (94i)²

which is equal to 5476x² + 8836

Given:

(74x + 94i) x (74x - 94i)

Formula Used:

Using the fact that

Explanation:

Given the expression

Note:

The calculation suggests that 5476x² + 8836 is the final answer. Could 4916x²-8116 be a typo? Please update/confirm and I would be happy to provide any follow-ups required!

i think the answer is b.

step-by-step explanation:

not 100% sure though.