Question

a = (2x - 3) and b = = (2x + 3), show that ab
+ 9÷4=x2 ​

Answer 1

Answer:

see explanation

Step-by-step explanation:

ab = (2x - 3)(2x + 3) ← expand factors using FOIL

ab = 4x² + 6x - 6x - 9 ← collect like terms

ab = 4x² - 9 ( add 9 to both sides )

ab + 9 = 4x² ( divide both sides by 4 )

$\frac{ab+9}{4}$ = x², or

(ab + 9) ÷ 4 = x²