Factorise the following expressions. (i) a2 + 8a + 16 (ii) p2 − 10p

1.	Factorise the following expressions. (i) a2 + 8a + 16 (ii) p2 − 10p + 25 (iii) 25m2 + 30m + 9 (iv) 49y2 + 84yz + 36z2 (v) 4x2 − 8x + 4 (vi) 121b2 − 88bc + 16c2 (vii) (l + m)2 − 4lm (Hint: Expand (l + m)2 first) (viii) a4 + 2a2b2 + b4
Answer» Factorise the following expressions. (i) a² + 8a + 16 (ii) p² − 10p + 25 (iii) 25m² + 30m + 9 (iv) 49y² + 84yz + 36z² (v) 4x² − 8x + 4 (vi) 121b² − 88bc + 16c² (vii) (l + m)² − 4lm (Hint: Expand (l + m)² first) (viii) a⁴ + 2a²b² + b⁴

Factorise the following expressions. (i) a2 + 8a + 16 (ii) p2 − 10p + 25 (iii) 25m2 + 30m + 9 (iv) 49y2 + 84yz + 36z2 (v) 4x2 − 8x + 4 (vi) 121b2 − 88bc + 16c2 (vii) (l + m)2 − 4lm (Hint: Expand (l + m)2 first) (viii) a4 + 2a2b2 + b4

Answer»

Factorise the following
expressions.

(i) a²
+ 8a + 16

(ii) p²
− 10p + 25

(iii) 25m²
+ 30m + 9

(iv) 49y²
+ 84yz + 36z²

(v) 4x²
− 8x + 4

(vi) 121b²
− 88bc + 16c²

(vii) (l + m)²
− 4lm (Hint: Expand (l + m)²
first)

(viii) a⁴
+ 2a²b² + b⁴