Q3 of 95 Page 93

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;


=



More from this chapter

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1

Find each of the following products:

(i) (x + 6)(x+6)


(ii) (4x + 5y)(4x + 5y)


(iii) (7a + 9b)(7a + 9b)


(iv)


(v) (x2 + 7)(x2 + 7)


(vi)

2

Find each of the following products:

(i) (x – 4)(x – 4)


(ii) (2x – 3y)(2x – 3y)


(iii)


(iv)


(v)


(vi)

4

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)

5

Using the formula for squaring a binomial, evaluate the following:

(i) (54)2 (ii) (82)2


(iii) (103)2 (iv) (704)2