(a) (2x + 3y/4)2
(b) (4x2 + 5y2) (4x2 – 5y2)
(c) (x + 2/5) (x – 2/5)
(d) (xy – 2z)2
(e) (a + bc) (a – bc) (a2 + b2c2)
(f) (2a/3b – 3b/2a)2
(g) (- 3a – 4b)2
(h) (a – 7) (a + 7)
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(a) (2x + 3y/4)2
(b) (4x2 + 5y2) (4x2 – 5y2)
(c) (x + 2/5) (x – 2/5)
(d) (xy – 2z)2
(e) (a + bc) (a – bc) (a2 + b2c2)
(f) (2a/3b – 3b/2a)2
(g) (- 3a – 4b)2
(h) (a – 7) (a + 7)
Solution :
(a) (2x + 3y/4)2
= (2x)2 + 2.2x. 3y/4 + (3y/4)2
= 4x2 + 3xy + 9y2/16
(b) (4x2 + 5y2) (4x2 – 5y2)
= (4x2)2 – 5y)2
= 16x4 – 25y4
(c) (x + 2/5) (x – 2/5)
= x2 – (2/5)2
= x2 – 4/25
(d) (xy – 2z)2
= (xy)2 – 2.x.y (+ 2z) + (2z)2
= x2y2 – 4xy2 +4z2
(e) (a + bc) (a – bc) (a2 + b2c2)
= (a2 – b2c2) (a2 + b2c2)
= (a2)2 – (b2c2)
= a4 – b4c4
(f) (2a/3b – 3b/2a)2
= (2a/3b)2 – 2 2a/3b 3b/2a
= 4a2/9b2 – 2 + 9b2/4a2
(g) (- 3a – 4b)2
= [(- 3a + 4b)]2 – (3a + 4b)
= (3a)2 + 3a.4b + (4b)2
= 9a2 + 24ab + 16b2
(h) (a – 7) (a + 7)
= a2 – (7)2
= a2 – 49