R S Aggarwal Solutions for Chapter: Algebraic Expressions, Exercise 3: EXERCISE 6C

Find the product $-3y\left(xy+y^2\right)$ and find its value for$x=4 \mathrm{and} y=5$.

Simplify: $a(b - c) + b(c - a) + c(a - b)$

Simplify: $a(b - c) - b(c - a) - c(a - b)$

Simplify: $3x^2 + 2(x + 2) -3x(2x + 1)$

Simplify: $x(x + 4) + 3x(2x^2 - 1) + 4x^2 + 4$

Simplify: $2x^2 + 3x(1 - 2x^3) + x(x + 1)$

Simplify: $a^{2}b(a - b^2) + a{b}^2(4ab - 2a^2) -a^{3}b(1 - 2b)$

Simplify: $4\mathrm{st}(\mathrm{s} - \mathrm{t}) -6{\mathrm{s}}^2(\mathrm{t} - {\mathrm{t}}^2) -3{\mathrm{t}}^2 (2{\mathrm{s}}^2 - \mathrm{s}) +2\mathrm{st} (\mathrm{s} - \mathrm{t})$