Merging man & maths https://www.mathcity.org/ Thu, 04 Jun 2026 04:14:53 +0000 FeedCreator 1.8 https://www.mathcity.org/_media/logo.svg https://www.mathcity.org/ https://www.mathcity.org/matric/9th_science/ex-4-1 Exercise 4.1 On the following page we have given the solution of Exercise 4.1 of Mathematics 9 (Science) published by Caravan Book House, Lahore. We have created this page and it will be updated to add new solutions occasionally. Please stay in touch with this page.$3x^2+\frac{1}{x}-5$$3x^3-4x^2-x\sqrt{x}+3$$x^2-3x+\sqrt{2}$$\frac{3x}{2x-1}+8$$3x^2+\frac{1}{x}-5$$No (Reason:\frac{1}{x})$$3x^3-4x^2-x\sqrt{x}+3$$No (Reasons \sqrt{x})$$x^2-3x+\sqrt{2}$$Yes$$\frac{3x}{2x-1}+8$$No (Reason:\frac{1}… anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:48:06 +0000 https://www.mathcity.org/matric/9th_science/ex-6-1 Exercise 6.1 On the following page we have given the solution of Exercise 6.1 of Mathematics 9 (Science) published by Caravan Book House, Lahore. We have created this page and it will be updated to add new solutions occasionally. Please stay in touch with this page.$39x^7y^3z$$91x^5y^6 z^7$$102xy^2z$$85x^2yz$$187xyz^2$$39x^7y^3z=13\times 3\times x^7 y^3 z$$91x^5y^6 z^7=13\times 7\times x^5 y^6 z^7$$13 x^5y^3z$$102xy^2z=2\times 3\times 17 xy^2z$$85x^2yz=3\times 17 x^2 y z$$187xyz^2 = 11\times 1… anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:48:08 +0000 https://www.mathcity.org/matric/9th_science/ex-6-2 Exercise 6.2 On the following page we have given the solution of Exercise 6.2 of Mathematics 9 (Science) published by Caravan Book House, Lahore. We have created this page and it will be updated to add new solutions occasionally. Please stay in touch with this page.$\frac{x^2-x-6}{x^2-9}+\frac{x^2+2x-24}{x^2-x-12}$\begin{align} \frac{x^2-x-6}{x^2-9}&+\frac{x^2+2x-24}{x^2-x-12}\\ &=\frac{x^2-3x+2x-6}{(x)^2-(3)^2}+\frac{x^2+6x-4x-24}{x^2-4x+3x-12}\\&= \frac{x(x-3)+2(x-3)}{(x-3)(x+3)}+\frac{x(x+6… anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:48:08 +0000 https://www.mathcity.org/matric/9th_science/ex-6-3 Exercise 6.3 On the following page we have given the solution of Exercise 6.3 of Mathematics 9 (Science) published by Caravan Book House, Lahore. We have created this page and it will be updated to add new solutions occasionally. Please stay in touch with this page.$4x^2-12xy +9y^2$$x^2-1+\frac{1}{4x^2}, (x\neq 0)$$\frac{1}{16}x^2-\frac{1}{12}xy+ \frac{1}{36}y^2$$4(a+b)^2-12(a^2-b^2)+9(a-b)^2$$\frac{4x^6-12x^3y^3+9y^6}{9x^4-24x^2y^2+16y^4},(x \neq 0)$$\left( x+\frac{1}{x}\right)^2-4\left( x-\f… anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:48:09 +0000 https://www.mathcity.org/matric/9th_science/review_exercise Review exercise On the following page we have given the solution of Review exercise of Mathematics 9 (Science) published by Caravan Book House, Lahore. We have created this page and it will be updated to add new solutions occasionally. Please stay in touch with this page.$x-2$$x^2+x-6$$x^2+x-6$$x+3$$x-2$$x+2$$c$$a^3+b^3$$a^2-ab+b^2$$a+b$$a^2-ab+b^2$$(a-b)^2$$a^2+b^2$$c$$x^2-5x+6$$x^2-x-6$$x-3$$x+2$$x^2-4$$x-2$$a$$a^2-b^2$$a^3-b^3$$a-b$$a+b$$a^2+ab+b^2$$a^2-ab+b^2$$a$$x^2+3x+2$$x^2+4x+3$$x^2+5x… anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:48:10 +0000