Tamil Nadu Board Solutions for Chapter: Algebra, Exercise 22: Exercise 3.5

Find the simple interest on  $\mathrm{Rs}. 5{\mathrm{a}}^2{\mathrm{b}}^2$ for $4\mathrm{ab}$ years at $7\mathrm{b}\%$ per annum.

The cost of a notebook is $\mathrm{Rs}.10\mathrm{ab}$. If Babu has Rs. $\mathrm{Rs}.\left(5{\mathrm{a}}^2\mathrm{b}+20{\mathrm{ab}}^2+40\mathrm{ab}\right)$. Then how many notebooks can he buy?

Factorize : $7y^2-19y-6$

A contractor uses the expression $4x^2+11x+6$ to determine the amount of wire to order when wiring a house. If the expression comes from multiplying the number of rooms times the number of outlets, and he knows the number of rooms to be $(x+2)$, find the number of outlets in terms of $\text{'}x\text{'}$. [Hint: factorize $4x^2+11x+6$]

A mason uses the expression $x^2+6x+8$ to represent the area of the floor of a room. If the decides that the length of the room will be represented by $(x+4)$, what will the width of the room be in terms of $x$?

Find the missing term: ${\mathrm{y}}^2+( \mathrm{\_} )\text{y}+56=(\mathrm{y}+7)(\mathrm{y}+\mathrm{\_} )$

Factorise : $16{\mathrm{p}}^4-1$

Factorise : $3x^3-45x^{2}y+225x{y}^2-375y^3$