Simplify: (i) (x−y)(x+y)(x2+y2)(x4+y4) (ii) (2x−1)(2x+1)(4x

1.	Simplify: (i) (x−y)(x+y)(x2+y2)(x4+y4) (ii) (2x−1)(2x+1)(4x2+1)(16x4+1) (iii) (7m−8n)2+(7m+8n)2 (iv) (2.5p−1.5q)2−(1.5p−2.5q)2 (v) (m2−n2m)2+2m3n2
Answer» Simplify: $(i) (x - y) (x + y) (x^{2} + y^{2}) (x^{4} + y^{4})$ $(i i) (2 x - 1) (2 x + 1) (4 x^{2} + 1) (16 x^{4} + 1)$ $(i i i) (7 m - 8 n)^{2} + (7 m + 8 n)^{2}$ $(i v) (2.5 p - 1.5 q)^{2} - (1.5 p - 2.5 q)^{2}$ $(v) (m^{2} - n^{2} m)^{2} + 2 m^{3} n^{2}$

Simplify: (i) (x−y)(x+y)(x2+y2)(x4+y4) (ii) (2x−1)(2x+1)(4x2+1)(16x4+1) (iii) (7m−8n)2+(7m+8n)2 (iv) (2.5p−1.5q)2−(1.5p−2.5q)2 (v) (m2−n2m)2+2m3n2

Answer»

Simplify:

$(i) (x - y) (x + y) (x^{2} + y^{2}) (x^{4} + y^{4})$ $(i i) (2 x - 1) (2 x + 1) (4 x^{2} + 1) (16 x^{4} + 1)$

$(i i i) (7 m - 8 n)^{2} + (7 m + 8 n)^{2}$ $(i v) (2.5 p - 1.5 q)^{2} - (1.5 p - 2.5 q)^{2}$

$(v) (m^{2} - n^{2} m)^{2} + 2 m^{3} n^{2}$