Complete the following table of products of two monomials-First - Second - 3 x -6 y 4 x2 -8 x y 9 x2 y -11 x3 y2 3 x -6 y 4 x2 -8 x y 9 x2 y -11 x3 y2

First rarr; Second darr; 3x ndash;6y 4x2 ndash;8xy 9x2y ...

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Byju's Answer

Standard VIII

Mathematics

Algebraic Expressions

Complete the ...

Question

Complete the following table of products of two monomials:

First →

Second ↓

3x

–6y

4x²

–8xy

9x²y

–11x³y²

3x

–6y

4x²

–8xy

9x²y

–11x³y²

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Solution

First →

Second ↓

3x

–6y

4x²

–8xy

9x²y

–11x³y²

3x

3x × 3x = 9x²

3x × (–6y) = –18xy

3x × 4x² = 12x³

3x × (–8xy)= –24x²y

3x × 9x²y = 27x³y

3x × (–11x³y²) = –33x⁴y²

–6y

(–6y) ×3x = –18xy

(–6y) × (–6y) = 36y²

(–6y) × 4x² = –24 x²y

(–6y) × (–8xy)= 48x y²

(–6y) × 9x²y= –54 x²y²

(–6y) × (–11x³y²) = 66 x³y³

4x²

4x² × 3x= 12x³

4x² × (–6y) = –24x²y

4x² × 4x²= 16x⁴

4x² × (–8xy)= –32x³y

4x² × 9x²y= 36x⁴ y

4x² × (–11x³y²) = –44x⁵y²

–8xy

(–8xy) × 3x = –24x²y

(–8xy) × (–6y) = 48xy²

(–8xy) × 4x²= –32x³y

(–8xy) × (–8xy) = 64x²y²

(–8xy) × 9x²y= –72x³y²

(–8xy) × (–11x³y²) = 88x⁴y³

9x²y

9x²y × 3x= 27x³y

9x²y × (–6y) = –54x²y²

9x²y × 4x²= 36x⁴y

9x²y × (–8xy)= –72x³ y²

9x²y × 9x²y= 81x⁴y²

9x²y × (–11x³y²) = –99x⁵ y³

–11x³y²

(–11x³y²) × 3x = –33x⁴y²

(–11x³y²) × (–6y) = 66x³y³

(–11x³y²) × 4x²= –4x⁵y²

(–11x³y²) × (–8xy) = 88x⁴y³

(–11x³y²) × 9x²y= –99x⁵y³

(–11x³y²) × (–11x³y²) = 121x⁶y⁴

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

First $\to$ Second $↓$	$3 x$	$- 6 y$	$4 x^{2}$	$- 8 x y$	$9 x^{2} y$	$- 11 x^{3} y^{2}$
$3 x$
$- 6 y$
$4 x^{2}$
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Complete the table of products.

$\begin{matrix} F i r s t P o l y n o m i a l \to & a^{2} + b^{2} & c + 5 d^{2} & - 6 p^{2} + 5 p S e c o n d P o l y n o m i a l ↓ - a b + d - c d + a b a b c d - p q \end{matrix}$
[4 MARKS]

Complete the table
$\begin{matrix} first expression & second expression & product (i) & a & b + c + d & - - - (i i) & x + y - 5 & 5 x y & - - - (i i i) & p & 6 p^{2} - 7 p + 5 & - - - (i v) & 4 p^{2} q^{2} & p^{2} - q^{2} & - - - (v) & a + b + c & a b c & - - - - \end{matrix}$

Q. Complete the table given below.

+	8	4	–3	–5
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0
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$\begin{matrix} F i r s t P o l y n o m i a l \to & a^{2} + b^{2} & c + 5 d^{2} & - 6 p^{2} + 5 p S e c o n d P o l y n o m i a l ↓ - a b + d - c d + a b a b c d - p q \end{matrix}$

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First → Second ↓	3x	–6y	4x²	–8xy	9x²y	–11x³y²
3x
–6y
4x²
–8xy
9x²y
–11x³y²

Complete the following table of products of two monomials: First → Second ↓ 3x –6y 4x2 –8xy 9x2y –11x3y2 3x –6y 4x2 –8xy 9x2y –11x3y2

Complete the following table of products of two monomials:

First →

Second ↓

3x

–6y

4x²

–8xy

9x²y

–11x³y²

3x

–6y

4x²

–8xy

9x²y

–11x³y²