[(y)/(2)m-(3)/(4)n^(2))+8mm=(16)/(9)m^(2)+(9)/(16)n^(2)

Show that: :(3x+7)^(2)-84x=(3x-7)^(2)(9a-5b)^(2)+180ab=(9a+5b)^(2)((4m)/(3)-(3n)/(4))^(2)+2mn=(16m^(2))/(9)+(9n^(2))/(16)

((15)/(16))^(3)-:((9)/(8))^(2)

Show that: (frac(4)(3)m -frac(3)(4)n)^2 + 2mn = frac(16)(9) m^2 + frac(9)(16)n^2

Prove that: ((1)/(4))^(-2)-3x8^((2)/(3))x4^(0)+((9)/(16))^(-(1)/(2))=(16)/(3)

Factorise : (i) 4a^(2)+9b^(2)+16c^(2)+12ab-24bc-16ca (ii) (4)/(9)x^(2)+(9)/(16)y^(2)+(16)/(25)z^(2)-xy-(6)/(5)yz+(16)/(15)zx (iii) 2x^(2)+y^(2)+8z^(2)-2sqrt(2)xy+4sqrt(2)yz-8xz

Show that: (4/3m-3/4n)^2 +2mn=(16)/9m^2+9/16n^2

(64x^(3)-:27backslash a^(-3))^(-2/3)= a.(9ax)/(16) b.(9)/(16ax) c.(9)/(16x^(2)a^(2)) d.(3)/(4)x^(-2)a^(-2)

Show that ((4m)/3-(3n)/4)^2 +2mn = 16/9m^2+9/16 n^2

Show that : (3x+7)^2-84 x=(3x-7)^2 (9a-5b)^2+180 a b=(9a+5b)^2 ((4m)/3-(3n)/4)^2+2m n=(16 m^2)/9+(9n^2)/(16)