Question

Complete the following table of products:

First monomial $\to$ Second Monomial $\downarrow$	$2x$	$-3y$	$4x^2$	$-5xy$	$7x^{2}y$	$-6x^2{y}^2$
$2x$	$4x^2$	....	....
$-3y$
$4x^2$
$-5xy$				$25x^2{y}^2$
$7x^{2}y$
$-6x^2{y}^2$		$18x^2{y}^2$

Answer 1

We can complete the given table by multiplying the monomials, as shown below:

First Monomial $\to$ Second monomial $\downarrow$	$2x$	$-3y$	$4x^2$	$-5xy$	$7x^{2}y$	$-6x^2{y}^2$
$2x$	$4x^2$	$-6xy$	$8x^3$	$-10x^{2}y$	$14x^{3}y$	$-12x^3{y}^2$
$-3y$	$-6xy$	$9y^2$	$-12x^{2}y$	$15x{y}^2$	$-21x^2{y}^2$	$18x^2{y}^3$
$4x^2$	$8x^3$	$-12x^{2}y$	$16x^4$	$-20x^{3}y$	$28x^{4}y$	$-24x^4{y}^2$
$-5xy$	$-10x^{2}y$	$15x{y}^2$	$-20x^{3}y$	$25x^2{y}^2$	$-35x^3{y}^2$	$30x^3{y}^3$
$7x^{2}y$	$14x^{3}y$	$-21x^2{y}^2$	$28x^{4}y$	$-35x^3{y}^2$	$49x^4{y}^2$	$-42x^4{y}^3$
$-6x^2{y}^2$	$-12x^3{y}^2$	$18x^2{y}^3$	$-24x^4{y}^2$	$30x^3{y}^3$	$-42x^4{y}^3$	$36x^4{y}^4$