Q2 of 95 Page 93

Find each of the following products:

(i) (x – 4)(x – 4)


(ii) (2x – 3y)(2x – 3y)


(iii)


(iv)


(v)


(vi)

(i) Given,


(x – 4)(x – 4)


By using the formula (a – b)2 = a2 – 2ab + b2


We get;


= (x – 4)2


= (x)2 – 2 × (x) × 4 + (4)2


= x2 – 8x + 16


(ii) Given,


(2x – 3y)(2x – 3y)


By using the formula (a – b)2 = a2 – 2ab + b2


We get;


= (2x – 3y)2


= (2x)2 – 2 × (2x) × (3y) + (3y)2


= 4x2 – 12xy + 9y2


(iii)


By using the formula (a – b)2 = a2 – 2ab + b2


We get;






(iv)


By using the formula (a – b)2 = a2 – 2ab + b2


We get;






(v)


By using the formula (a – b)2 = a2 – 2ab + b2


We get;





(vi)


By using the formula (a – b)2 = a2 – 2ab + b2


We get;






More from this chapter

All 95 →
15

Write the quotient and remainder when we divide:

(8x4 + 10x3 – 5x2 – 4x + 1) by (2x2 – 3x + 5)

 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)

3

Expand:

(i) (8a + 3b)2 (ii) (7x + 2y)2


(iii) (5x + 11)2 (iv)


(v) (vi) (9x – 10)2


(vii) (viii)


(ix)

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)