Find each of the following products:

(i) (x + 3)(x – 3)


(ii) (2x + 5)(2x – 5)


(iii) (8 + x)(8 – x)


(iv) (7x + 11y)(7x – 11y)


(v)


(vi)


(vii)


(viii)


(ix)

(i) Given,


(x + 3)(x – 3)


By using the formula (a + b) (a – b) = a2 – b2


We get;


= x(x + 3) – 3(x + 3)


= x2 + 3x – 3x – 9


= x2 – 9


(ii) Given,


(2x + 5)(2x – 5)


By using the formula (a + b) (a – b) = a2 – b2


We get;


= 2x(2x + 5) – 5(2x + 5)


= 4x2 + 10x – 10x – 25


= 4x2 – 25


(iii) Given,


(8 + x)(8 – x)


By using the formula (a + b) (a – b) = a2 – b2


We get;


= 8(8 + x) – x(8 + x)


= 64 + 8x – 8x – x2


= 64 – x2


(iv) Given,


(7x + 11y)(7x – 11y)


By using the formula (a + b) (a – b) = a2 – b2


We get;


= 7x(7x + 11y) – 11y(7x + 11y)


= 49x2 + 77xy – 77xy – 121y2


= 49x2 – 121y2


(v) Given,



By using the formula (a + b) (a – b) = a2 – b2


We get;




(vi)


By using the formula (a + b) (a – b) = a2 – b2


We get;



(vii)


By using the formula (a + b) (a – b) = a2 – b2


We get;



(viii)


By using the formula (a + b) (a – b) = a2 – b2


We get;



(ix)


By using the formula (a + b) (a – b) = a2 – b2


We get;



4