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A frame around a square photo has total area $A = 4 x^{2} - 9$ square cm (a difference of squares).
Factorise A into two binomial factors.

Class 9Factor Theorem and FactorisationPolynomials

A $(2 x - 3) (2 x + 3)$
B $(2 x - 3)^{2}$
C $(4 x - 3) (x + 3)$
D $(2 x - 9) (2 x + 1)$

Step-by-Step Solution

4 x^{2} - 9 = (2 x)^{2} - 3^{2} = (2 x - 3) (2 x + 3)

by the difference-of-squares identity.

Answer: A)

(2 x - 3) (2 x + 3)

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