# Ex.9.2 Q3 Algebraic Expressions and Identities - NCERT Maths Class 8

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## Question

Complete the table of products.

 \begin{align}\frac{{{\rm{First}}\,{\rm{monomial}} \to }}{{{\rm{Second}}\,{\rm{monomial}} \downarrow }}\end{align} $$2x$$ $$- 5y$$ $$3{x^2}$$ $$- 4xy$$ $$7{x^2}y$$ $$- 9{x^2}{y^2}$$ $$2x$$ $$4{x^2}$$ $$\dots$$ $$\dots$$ $$\dots$$ $$\dots$$ $$\dots$$ $$- 5y$$ $$\dots$$ $$\dots$$ $$- 15{x^2}y$$ $$\dots$$ $$\dots$$ $$\dots$$ $$3{x^2}$$ $$\dots$$ $$\dots$$ $$\dots$$ $$\dots$$ $$\dots$$ $$\dots$$ $$- 4xy$$ $$\dots$$ $$\dots$$ $$\dots$$ $$\dots$$ $$\dots$$ $$\dots$$ $$7{x^2}y$$ $$\dots$$ $$\dots$$ $$\dots$$ $$\dots$$ $$\dots$$ $$\dots$$ $$- 9{x^2}{y^2}$$ $$\dots$$ $$\dots$$ $$\dots$$ $$\dots$$ $$\dots$$ $$\dots$$

Video Solution
Algebraic Expressions & Identities
Ex 9.2 | Question 3

## Text Solution

What is known?

Expressions

What is Unknown?

Product

Steps:

The table can be completed as follows.

 \begin{align}\frac{{{\rm{First}}\,{\rm{monomial}} \to }}{{{\rm{Second}}\,{\rm{monomial}} \downarrow }}\end{align} $$2x$$ $$- 5y$$ $$3{x^2}$$ $$- 4xy$$ $$7{x^2}y$$ $$- 9{x^2}{y^2}$$ $$2x$$ $$4{x^2}$$ $$- 10xy$$ $$6{x^3}$$ $$- 8{x^2}y$$ $$14{x^3}y$$ $$- 18{x^3}{y^2}$$ $$- 5y$$ $$- 10xy$$ $$25{y^2}$$ $$- 15{x^2}y$$ $$20x{y^2}$$ $$- 35{x^2}{y^2}$$ $$45{x^2}{y^3}$$ $$3{x^2}$$ $$6{x^3}$$ $$- 15{x^2}y$$ $$9{x^4}$$ $$- 12{x^3}y$$ $$21{x^4}y$$ $$- 27{x^4}{y^2}$$ $$- 4xy$$ $$- 8{x^2}y$$ $$20x{y^2}$$ $$- 12{x^3}y$$ $$16{x^2}{y^2}$$ $$- 28{x^3}{y^2}$$ $$36{x^3}{y^3}$$ $$7{x^2}y$$ $$14{x^3}y$$ $$- 35{x^2}{y^2}$$ $$21{x^4}y$$ $$- 28{x^3}{y^2}$$ $$49{x^4}{y^2}$$ $$- 63{x^4}{y^3}$$ $$- 9{x^2}{y^2}$$ $$- 18{x^3}{y^2}$$ $$45{x^2}{y^3}$$ $$- 27{x^4}{y^2}$$ $$36{x^3}{y^3}$$ $$- 63{x^4}{y^3}$$ $$81{x^4}{y^4}$$

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