Related InterviewSolutions

• Simplify the expressions and evaluate them as directed: (i) `x(x-3)+2` for `x=1` (ii) `3y(2y-7)-3(y-4)-63` for `y=2`
• Find the LCM of the following : `(1.) x^3y^2,xyz`.
• Find the areas of rectangles with the following pairs of monomials as their lengths and breadths respectively(p, q); (10m, 5n); (20x2, 5y2); (4x, 3x2); (3mn, 4np)
• Use a suitable identity to get each of the following products. (i) `(x+3)(x+3)` (ii) `(2y+5)(2y+5)` (iii) `(2a-7)(2a-7)` (iv) `((3a)-1/2)((3a)-1/2)` (v) `(1.1m-0.4)(1.1m+04)` (vi) `(a^2+b^2)(-a^2+b^2)` (viI) `(6x-7)(6x+7)` (vii) `(-a+c)(-a+c)` (viii) `(x/2+(3y)/4)(x/2+((3y)/4)` (ix) `(7a-9b)(7a-9b)`
• Simplify. (i) `(x^2-5) (x+5)+25` (ii) `(a^2+5) (b^3+3)+5` (iii) `(t+s^2) (t^2-s)` (iv) `(a+b)(c-d)+(9a-b)(c+d)+2(ac+bd)` (v) `(x+y)(2x+y)+(x+2y)+(x+2y)(x-y)` (vi) `(x+y)(x^2-xy+y^2)` (vii) `(1.5x-4y)(1.5x+4y+3)-4.5x+12y` (viii) `(a+b+c)(a+b-c)`
• (a) Subtract `4a-7ab+3b+12` from `12a-9ab+5b` (r) Subtract `3xy+5yz-7zx` from `5xy-2yx+10xyz` (jj) Subtract `4p^2q-3pq+5pq^2-8p+7q-10` from `18-3p-11q+5pq-2pq^2+5p^2q`
• Show that. (i) `(3x+7)2-84x=(3x-7)2` (ii) `(9p-5q)2+180pq=(9p+5q)2` (iii) `(43(m)-34(n))2+2mn=169(m2)+916(n2)` (iv) `(4pq+3q)2-(4pq-3q)2=48pq2` (v) `(a-b)(a+b)+(b-c)(b+c)+(c-a)(c+a)=0`
• Using Identity find (i) `(4p-3q)^2` (ii) `(49)^2`
• Complete the table for area of a rectangle with given length and breadth.
• (a) Simpify `3 xx (4x-5)+3` and find its values for (i) `x=3` (ii) `x=1/2.` (j) simplify `a(a^2+a+1)+5` and find its value for (i) `a=0` (ii) `a=1` (iii) `a=-1`