# MCQs Algebraic Manipulation 9th Class

Online MCQs about Algebraic Manipulation from Chapter 6 of 9th Class Mathematics Book.

1. If $A=\frac{a+b}{a-b}$, them $\frac{1}{A}$ is

2. HCF of $x^2-5x+6$ and $x^2 – x – 6$ is

3. Simplify $\left(\frac{2x+y}{x+y}-1\right) + \left(1-\frac{x}{x+y}\right)$

4. The square root of $x^4 + \frac{1}{x^4}+2$  is

5. LCM of $15x^2$, $45xy$, and $30xyz$ is

6. HCF of $a^3 +b^3$ and $x^2-ab+b^2$ is

7. HCF of $x^2+3x+2$, $x^2+4x+3$, $x^2+5x+4$ is

8. The square root of $a^2-2a+1$ is

9. HCF of $x-2$ and $x^2+x – 6$ is

10. How many methods are used to find the HCF of given expression?

11. LCM $\times$ HCF =

12. Simplify $\frac{a^3 -b^3}{a^4-b^4} + \left(\frac{a^2+ab+b^2}{a^2+b^2}\right)=$

13. HCF of $5x^2y^2$ and 20x^3y^3$is 14. Any unknown expression may be found if _______ of them are known by using the relation 15. HCF = ? 16. How many methods are used to find the square root of a given expression? 17. The product of two algebraic expressions equals the _________ of their HCF and LCM. 18.$\frac{a+b}{a^2-b^2} \div \frac{a^2-ab}{a^2-2ab+b^2}$19. The square root of$4x^2 -12x +9$is 20. Simplify$\frac{a^2+5a-14}{a^2-3a-18} \times \frac{a+3}{a-2}=$21. LCM = ? 22. HCF of a$a^2-b^2$and$a^3-b^3$is 23. Simplify$\frac{a}{9a^2 – b^2} + \frac{1}{3a-b}$24. HCF of$p^3q – pq^3$and$p^5q^2 -p^2q^5$is 25. What should be added to complete the square of$x64 + 64$? 26. The HCF of$x^2-4$,$x^4+4x+4$, and$2x^2+x-6$is 27. LCM of$a^2+b^2$and$a^4-b^4$is • HCF of$p^3q – pq^3$and$p^5q^2 -p^2q^5$is • HCF of$5x^2y^2$and 20x^3y^3$ is
• HCF of $x-2$ and $x^2+x – 6$ is
• HCF of $a^3 +b^3$ and $x^2-ab+b^2$ is
• HCF of $x^2-5x+6$ and $x^2 – x – 6$ is
• HCF of a $a^2-b^2$ and $a^3-b^3$ is
• HCF of $x^2+3x+2$, $x^2+4x+3$, $x^2+5x+4$ is
• LCM of $15x^2$, $45xy$, and $30xyz$ is
• LCM of $a^2+b^2$ and $a^4-b^4$ is
• The product of two algebraic expressions equals the ____________ of their HCF and LCM.
• Simplify $\frac{a}{9a^2 – b^2} + \frac{1}{3a-b}$
• Simplify $\frac{a^2+5a-14}{a^2-3a-18} \times \frac{a+3}{a-2}=$
• Simplify $\frac{a^3 -b^3}{a^4-b^4} + \left(\frac{a^2+ab+b^2}{a^2+b^2}\right)=$
• Simplify $\left(\frac{2x+y}{x+y}-1\right) + \left(1-\frac{x}{x+y}\right)$
• The square root of $a^2-2a+1$ is
• What should be added to complete the square of $x64 + 64$?
• The square root of $x^4 + \frac{1}{x^4}+2$  is
• The square root of $4x^2 -12x +9$ is
• LCM =?
• HCF =?
• LCM $\times$ HCF =
• Any unknown expression may be found if _ of them are known by using the relation
• The HCF of $x^2-4$, $x^4+4x+4$, and $2x^2+x-6$ is
• $\frac{a+b}{a^2-b^2} \div \frac{a^2-ab}{a^2-2ab+b^2}$
• If $A=\frac{a+b}{a-b}$, them $\frac{1}{A}$ is
• How many methods are used to find the HCF of a given expression?
• How many methods are used to find the square root of a given expression?

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