Note: This is the Solution of review exercise 4.4 from newly published book by PCTB (Punjab Curriculum and Textbook Board, Pakistan) for new 9th session 2025 Onward. Exercise 4.4 Question # 01: Find the square root of the following polynomials by factorization method: \((i)\) \(\quad\) \( x^2-8x+16\) \((ii)\) \(\quad\) \(9x^2+12x+4\) \((iii)\) \(\quad\) \(36a^2+84a+49 \) \((iv)\) … Read more
Note: This is the Solution of review exercise 4.3 from newly published book by PCTB (Punjab Curriculum and Textbook Board, Pakistan) for new 9th session 2025 Onward. Exercise 4.3 Question # 01: Find HCF by factorization method: \((i)\) \(\quad\) \( 21x^2y,35xy^2\) \((ii)\) \(\quad\) \(4x^2-9y^2,2x^2-3xy\) \((iii)\) \(\quad\) \(x^3-1,x^2+x+1 \) \((iv)\) \(\quad \)\(a^3+2a^2-3a,2a^3+5a^2-3a \) \((v)\) \(\quad \) … Read more
Note: This is the Solution of review exercise 4.2 from newly published book by PCTB (Punjab Curriculum and Textbook Board, Pakistan) for new 9th session 2025 Onward. Exercise 4.2 Question # 01: Factorize each of the following expressions: \((i)\) \(\quad\) \( 4x^4+81y^4\) \((ii)\) \(\quad\) \(a^4+64b^4\) \((iii)\) \(\quad\) \(x^4+4x^2+16 \) \((iv)\) \(\quad \)\(x^4-14x^2+1 \) \((v)\) \(\quad … Read more
Note: This is the Solution of review exercise 4.1 from newly published book by PCTB (Punjab Curriculum and Textbook Board, Pakistan) for new 9th session 2025 Onward. Exercise 4.1 Question # 01: Factorize by identifying common factors: \((i)\) \(\quad\) \( 6x+12\) \((ii)\) \(\quad\) \(15y^2+20y\) \((iii)\) \(\quad\) \(-12x^2-3x \) \((iv)\) \(\quad \)\(4a^2b+8ab^2 \) \((v)\) \(\quad \) … Read more
Note: This is the Solution of review exercise 3 from newly published book by PCTB (Punjab Curriculum and Textbook Board, Pakistan) for new 9th session 2025 Onward. Review Exercise 3 Question # 01: Four option are given against each statement. Encircle the correct option. \((i)\) The set builder form of the set \(\{1,\frac{1}{3} ,\frac{1}{5} ,\frac{1}{7} … Read more
Note: This is the Solution of review exercise 3.3 from newly published book by PCTB (Punjab Curriculum and Textbook Board, Pakistan) for new 9th session 2025 Onward. Exercise 3.3 Question # 01: For \(\small{A=\{1,2,3,4\}}\), find the following relations in \(\small{A}\). State the domain and range of each relation. \((i)\) \(\quad\) \(\{ (x,y)\mid y=x\} \) \((ii)\) … Read more
Note: This is the Solution of review exercise 3.2 from newly published book by PCTB (Punjab Curriculum and Textbook Board, Pakistan) for new 9th session 2025 Onward. Exercise 3.2 Question # 01: Consider the universal set \(\small{U=\{x:x\text{ is multiple of 2 and }0<x\leq30\}}\), \(\small{A=\{x:x\text{ is a multiple of } 6\}}\) and \(\small{B=\{x:x\text{ is a multiple … Read more
Note: This is the Solution of review exercise 3.1 from newly published book by PCTB (Punjab Curriculum and Textbook Board, Pakistan) for new 9th session 2025 Onward. Exercise 3.1 Question 1: Write the following sets in set builder notation: \((i)\) \(\quad\) \(\{1,4,9,16,25,36,\ldots, 484\} \) \((ii)\) \(\quad\) \(\{2,4,8,16,32,64,\ldots,150\} \) \((iii)\) \(\quad\) \(\{0, \pm 1, \pm 2, … Read more
Note: This is the Solution of review exercise 13 from newly published book by PCTB (Punjab Curriculum and Textbook Board, Pakistan) for new 9th session 2025 Onward. Review Exercise 13 Question # 01: Four option are given against each statement. Encircle the correct option. \((i)\) Each element of the sample space is called: \( a) … Read more
Note: This is the Solution of review exercise 13.2 from newly published book by PCTB (Punjab Curriculum and Textbook Board, Pakistan) for new 9th session 2025 Onward. Exercise 13.2 Question 1: A researcher collected data on number of deaths from Horse-Ricks in Russian Army crops over the years. The table is as follows: Find the … Read more