Expand:
(i) (8a + 3b)2 (ii) (7x + 2y)2
(iii) (5x + 11)2 (iv)
(v) (vi) (9x – 10)2
(vii) (viii)
(ix)
(i) Given,
(8a + 3b)2
By using the formula (a + b)2 = a2 + b2 + 2ab
We get;
= (8a)2 + (3b)2 + 2 × 8a × 3b
= 64a2 + 9b2 + 48ab
(ii) (7x + 2y)2
By using the formula (a + b)2 = a2 + b2 + 2ab
We get;
= (7x)2 + (2y)2 + 2 × (7x) × (2y)
= 49x2 + 4y2 + 28xy
(iii) (5x + 11)2
By using the formula (a + b)2 = a2 + b2 + 2ab
We get;
= (5x)2 + (11)2 + 2×(5x) × 11
= 25x2 + 121 + 110x
(iv)
By using the formula (a + b)2 = a2 + b2 + 2ab
We get;
(v)
By using the formula (a + b)2 = a2 + b2 + 2ab
We get;
(vi) (9x – 10)2
By using the formula (a - b)2 = a2 - 2ab + b2
We get;
(9x – 10)2
= (9x)2 – 2 × (9x) × 10 + (10)2
= 81x2 – 180x + 100
(vii) (x2y – yz2)2
By using the formula (a - b)2 = a2 - 2ab + b2
We get;
= (x2y – yz2)2
= (x2y)2 – 2 × (x2y) × yz2 + (yz2)2
= x4y2 – 2x2y2z2 + y2z4
(viii)
By using the formula (a - b)2 = a2 - 2ab + b2
We get;
(ix)
By using the formula (a - b)2 = a2 - 2ab + b2
We get;
=