Question

which of the following results in the difference of two squares?
a. (4x-5y)(4x+5y)
b. (5x+3y)(5x+3y)
c. (2x-3y)^2
d. 4x^2(3x-9)

Answer 1

Answer:

The answer is a.

Step-by-step explanation:

Observe the formula: $(a+b)(a-b)=a^2-b^2$

A is the only one that has this format. Thus, it is the difference of two squares.

Answer 2

The results in the difference between the two squares are (4x-5y)(4x+5y). then the correct answer is option A.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Use the algebraic identity a² - b² = ( a + b ) ( a - b ).

Let a = 4x and b = 5y, two sides of the square now the difference will be calculated:-

a² - b² = ( a + b ) ( a - b ).

(4x)² - (5y)² = ( 4x + 5y ) ( 4x - 5y ).

Hence, the correct answer is option A.

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