Q5 of 59 Page 162

Expand:

(n – 1)(n + 1)(n2 + 1)

Applying the formula (a + b)(a - b) = a2 - b2 on first two terms


(n – 1)(n + 1)(n2 + 1) = (n2 - 1) (n2 + 1)


Applying the formula (a + b)(a - b) = a2 - b2 again


⇒ (n – 1)(n + 1)(n2 + 1) = (n4 - 1)


More from this chapter

All 59 →
3

Expand:

(i) (4x + 3)2


(ii) (x + 2y)2


(iii)


(iv)

4

Expand:

(i) (2t + 5)(2t – 5);


(ii) (xy + 8)(xy – 8);


(iii) (2x + 3y)(2x – 3y).

 5

Expand:

 5

Expand:

(x – 1)(x + 1)(x2 + 1)(x4 + 1)