Factorize ${\mathrm{x}}^4+{\mathrm{x}}^2+1$.

Important Questions on Expressions and Special Products

HARD

7th CBSE

IMPORTANT

Pearson IIT Foundation Mathematics>Chapter 2 - Expressions and Special Products>PRACTICE QUESTIONS (COMPETITION WING)>Q 53

If $\mathrm{x}+\frac{1}{\mathrm{x}}=\mathrm{a}$ and $\mathrm{x}-\frac{1}{\mathrm{x}}=\mathrm{b}$, then ${\mathrm{a}}^2-{\mathrm{b}}^2=$_____.

MEDIUM

7th CBSE

IMPORTANT

Pearson IIT Foundation Mathematics>Chapter 2 - Expressions and Special Products>PRACTICE QUESTIONS (COMPETITION WING)>Q 54

Factorise ${\mathrm{y}}^2+2\mathrm{xy}+2\mathrm{xz}-{\mathrm{z}}^2$.

MEDIUM

7th CBSE

IMPORTANT

Pearson IIT Foundation Mathematics>Chapter 2 - Expressions and Special Products>PRACTICE QUESTIONS (COMPETITION WING)>Q 55

If $\mathrm{A}=\left(\mathrm{x}-\mathrm{a}\right)\left(\mathrm{x}-\mathrm{b}\right)\left(\mathrm{x}-\mathrm{c}\right).........\left(\mathrm{x}-\mathrm{z}\right)$, then the number of terms in the expansion of $\left(\mathrm{a}+\mathrm{A}\right)\left(\mathrm{b}+\mathrm{A}\right)\left(\mathrm{c}+\mathrm{A}\right).......\left(\mathrm{z}+\mathrm{A}\right)$ is _____.

HARD

7th CBSE

IMPORTANT

Pearson IIT Foundation Mathematics>Chapter 2 - Expressions and Special Products>PRACTICE QUESTIONS (COMPETITION WING)>Q 56

$\left(4{\mathrm{x}}^4+19{\mathrm{x}}^2+25\right)÷\left(2{\mathrm{x}}^2+\mathrm{x}+5\right)$

HARD

7th CBSE

IMPORTANT

Pearson IIT Foundation Mathematics>Chapter 2 - Expressions and Special Products>PRACTICE QUESTIONS (COMPETITION WING)>Q 57

If $\mathrm{P}=8{\mathrm{x}}^4+6{\mathrm{x}}^3-15{\mathrm{x}}^2+27\mathrm{x}-20 \text{and} \mathrm{Q}=2{\mathrm{x}}^2+3\mathrm{x}-4$, then find the remainder when P is divided by Q.

MEDIUM

7th CBSE

IMPORTANT

Pearson IIT Foundation Mathematics>Chapter 2 - Expressions and Special Products>PRACTICE QUESTIONS (COMPETITION WING)>Q 58

${\mathrm{x}}^3+{\mathrm{xy}}^2-{\mathrm{x}}^2\mathrm{y}-{\mathrm{y}}^3=$_____

HARD

7th CBSE

IMPORTANT

Pearson IIT Foundation Mathematics>Chapter 2 - Expressions and Special Products>PRACTICE QUESTIONS (COMPETITION WING)>Q 59

If $\mathrm{y}-\frac{1}{\mathrm{y}}=3$, then find ${\mathrm{y}}^4+\frac{1}{{\mathrm{y}}^4}$.

MEDIUM

7th CBSE

IMPORTANT

Pearson IIT Foundation Mathematics>Chapter 2 - Expressions and Special Products>PRACTICE QUESTIONS (COMPETITION WING)>Q 60

If $64{\mathrm{x}}^2+\frac{1}{16{\mathrm{x}}^2}=20$, then  $8\mathrm{x}-\frac{1}{4\mathrm{x}}$ can be _____.