Sagot :
This is a special product which is the difference of two squares:
(a+b)(a-b) = a² - b²
(8-3x)(8+3x) = 64 - 9x²
(a+b)(a-b) = a² - b²
(8-3x)(8+3x) = 64 - 9x²
As you can see, this expression is related in the form:
(x-y) (x+y)
The rule states that if an expression is in the form
(x-y) (x+y)
its answer is: x² - y²
Solve:
(8 - 3x) (8 + 3x) = 64 - 9x²
Check:
F = 8²
O = 8 (3x)
I = 8 (-3x)
L = (-3x) (3x)
= 64 + 24x - 24x - 9x²
= 64 - 9x², Correct
(x-y) (x+y)
The rule states that if an expression is in the form
(x-y) (x+y)
its answer is: x² - y²
Solve:
(8 - 3x) (8 + 3x) = 64 - 9x²
Check:
F = 8²
O = 8 (3x)
I = 8 (-3x)
L = (-3x) (3x)
= 64 + 24x - 24x - 9x²
= 64 - 9x², Correct