West Bengal Board Solutions for Chapter: Multiplication and Division of Polynomials, Exercise 3: Let's work out - 4.1

Find the product of algebraic expressions by successive multiplication.

$\left(ax+by\right), \left(ax-by\right), \left(a^4{x}^4+a^2{b}^2{x}^2{y}^2+b^4{y}^4\right)$

Find the product of algebraic expressions by successive multiplication.

$\left(a+b+c\right), \left(a-b+c\right), \left(a+b-c\right)$

Find the product of algebraic expressions by successive multiplication.

$\left(\frac{2p^2}{q^2}+\frac{5p^2}{q^2}\right), \left(\frac{2p^2}{q^2}-\frac{5p^2}{q^2}\right)$

Find the product of algebraic expressions by successive multiplication.

$\left(\frac{x^2}{y^2}+\frac{y^2}{z^2}\right), \left(\frac{y^2}{z^2}+\frac{z^2}{x^2}\right), \left(\frac{z^2}{x^2}+\frac{x^2}{y^2}\right)$

The simplified value of $\left(x+y\right)\left(x^2-xy+y^2\right)+\left(x-y\right)\left(x^2+xy+y^2\right)$ is $k{x}^3$. Then the value of $k$ is?

Simplify: $a^2\left(b^2-c^2\right)+b^2\left(c^2-a^2\right)+c^2\left(a^2-b^2\right)$

Find the value of $\left(x-y\right)a+\left(y-z\right)b+\left(z-x\right)c$, if $a=x^2+xy+y^2, b=y^2+yz+z^2, c=x^2+xz+z^2$.

Find the value of $a\left(m+n\right)+b\left(n+l\right)+c\left(l+m\right)$, if $a=lx+my+n, b=mx+ny+l, c=nx+ly+m$.