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Addition and Subtraction of Algebraic Expression

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Question

Add: $5 x^{2} y, - 7 x^{2} y$ , $9 x^{2} y$ .

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Solution

Given: $5 x^{2} y, - 7 x^{2} y$ , $9 x^{2} y$
To find: $(5 x^{2} y) + (- 7 x^{2} y) + (9 x^{2} y)$
$= (5 + (- 7) + 9) x^{2} y$
$= (5 - 7 + 9) x^{2} y$
$= 7 x^{2} y$ .

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Q. Factorize the following:
9x²y + 3axy

Q. Complete the table of products

$F i r s t m o n o m i a l \to - --------------- \to ↓ S e c o n d m o n o m i a l$	2x	-5y	$3 x^{2}$	-4xy	$7 x^{2} y$	$- 9 x^{2} y^{2}$
2x	$4 x^{2}$	-	-	-	-	-
- 5y	-	-	$- 15 x^{2} y$	-	-	-
$3 x^{2}$	-	-	-	-	-	-
- 4xy	-	-	-	-	-	-
$7 x^{2} y$	-	-	-	-	-	-
$- 9 x^{2} y^{2}$	-	-	-	-	-	-

Q. Complete the table of products.

$\frac{F i r s t m o n o m i a l \to}{S e c o n d m o n o m i a l ↓}$	$2 x$	$- 5 y$	$3 x^{2}$	$- 4 x y$	$7 x^{2} y$	$- 9 x^{2} y^{2}$
$2 x$	$4 x^{2}$	.....	.....	.....	.....	.....
$- 5 y$	.....	.....	$- 15 x^{2} y$	.....	.....	.....
$3 x^{2}$	.....	.....	.....	.....	.....	.....
$- 4 x y$	.....	.....	.....	.....	.....	.....
$7 x^{2} y$	.....	.....	.....	.....	.....	.....
$- 9 x^{2} y^{2}$	.....	.....	.....	.....	.....	.....

Q. Complete the following table of products of two monomials:

First $\to$ Second $↓$	$3 x$	$- 6 y$	$4 x^{2}$	$- 8 x y$	$9 x^{2} y$	$- 11 x^{3} y^{2}$
$3 x$
$- 6 y$
$4 x^{2}$
$- 8 x y$
$9 x^{2} y$
$- 11 x^{3} y^{2}$

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