Factorize
(i) ` 5a^2-20ab`
(ii) ` 36a^3b-60a^2bc`
(iii) `5a(b+c)-7b(b+c)`
(iv)` 6(2a+3b)^2-8(2a+3b)`

If a = 2 and b = 3, find the value of (i) a + b (ii) a^(2) + ab (iii) ab - a^(2) (iv) 2a - 3b (v) 5a^(2) - 2ab (vi) a^(3) - b^(3)

Factorize (i) ab+bc +ax +cx (ii) x^2+3x+x+3 (iii) 6ab-b^2+12ac-2bc (iv) a^2-b-ab -a

Factorize: 8a^(3)-27b^(3)-36a^(2)b+54ab^(2)

Expand (i) (a+2b+5c)^2 (ii) (2a+b+c)^2 (iii) (a-2b-3c)^2

Expand : (i) (a+b-c)^(2) " " (ii) (a-2b-5c)^(2) " " (iii) (3a-2b-5c)^(2) " " (iv) (2x+(1)/(x)+1)^(2) .

Expand : (i) (a+b-c)^(2) " " (ii) (a-2b-5c)^(2) " " (iii) (3a-2b-5c)^(2) " " (iv) (2x+(1)/(x)+1)^(2) .

Factorize: 8a^(3)+27b^(3)+36a^(2)b+54ab^(2)

Factorize: 9a^(2)-16b^(2)( ii) 36a^(2)-(x-y)^(3)80a^(2)-45b^(2)( iv) (3a-b)^(2)-9c^(2)

Multiply: (i) 6ab by 4b (ii) 5ab^(2)c^(3) by 7a^(2)bc (iii) -6x^(2)yz by (2)/(3)xy^(3)z^(2) (iv) (-8)/(5)a^(2)bc^(3) by (-3)/(4)ab^(2)c

Subtract: (i) 5a + 7b - 2c from 3a - 7b + 4c (ii) a - 2b - 3c from -2a + 5b - 4c (iii) 5x^(2) - 3xy + y^(2) from 7x^(2) - 2xy - 4y^(2) (iv) 6x^(3) - 7x^(2) + 5x - 3 from 4 - 5x + 6x^(2) - 8x^(3) (v) x^(3) + 2x^(2) y + 6xy^(2) - y^(3) from y^(3) - 3xy^(2) - 4x^(2) (vi) -11 x^(2) y^(2) + 7xy - 6 from 9x^(2) y^(2) - 6xy + 9 (vii) -2a + b + 6d from 5a - 2b - 3c