Factorization: Difference of Squares

Learn ,Practice and Self Assess The Factorization of Difference of Squares

Dear Students,[br][br]By Pressing the NEW PROBLEM button, Practice and Learn the "Factorization of Difference of Squares" and then Move the Red Slider from Level 1 to Level 2. Also Take the Quiz after you mastered Level1, and Level 2.

After you have mastered the Factorization of both Levels ,

Try these Questions

Q1

Factorize: [br][math]x^2-49[/math]

[math]\left(x+7\right)\left(x-7\right)[/math] [math]\left(x+49\right)\left(x-49\right)[/math] [math]\left(x-7\right)\left(x-7\right)[/math] [math]\left(x+7\right)\left(x+7\right)[/math]

Q2

Factorize: [br][math]x^2-\left(\frac{16}{9}\right)[/math]

[math]\left(x+\frac{4}{3}\right)\left(x-\frac{4}{3}\right)[/math] [math]\left(x+\frac{16}{9}\right)\left(x-\frac{16}{9}\right)[/math] [math]\left(x+\frac{4}{9}\right)\left(x-\frac{4}{9}\right)[/math] [math]\left(x+\frac{4}{3}\right)\left(x+\frac{4}{3}\right)[/math]

Q3

Factorize: [br][math]\left(\frac{x}{3}\right)^2-\left(\frac{25}{9}\right)[/math]

[math]\left(\frac{x}{3}-\frac{5}{3}\right)\left(\frac{x}{3}-\frac{5}{3}\right)[/math] [math]\left(\frac{x}{3}+\frac{5}{3}\right)\left(\frac{x}{3}-\frac{5}{3}\right)[/math] [math]\left(\frac{x}{3}+\frac{4}{3}\right)\left(\frac{x}{3}+\frac{4}{3}\right)[/math] [math]\left(\frac{x}{3}+\frac{5}{9}\right)\left(\frac{x}{3}-\frac{5}{9}\right)[/math]

Q4

Factorize: [br][math]2\left(x^2\right)-72=2\left\{x^2-36\right\}[/math]

[math]\left(2x+6\right)\left(2x-6\right)[/math] [math]\left(2x+3\right)\left(2x-3\right)[/math] [math]2\left(x+6\right)\left(x-6\right)[/math] [math]2\left(x-6\right)\left(x-6\right)[/math]

Q5

Factorize: [br][math]5x^2-500[/math]

[math]5\left(x+10\right)\left(x-10\right)[/math] [math]5\left(x-10\right)\left(x-10\right)[/math] [math]\left(5x+10\right)\left(5x-10\right)[/math] [math]5\left(x+10\right)\left(x+10\right)[/math]

Q6 Optional

Work out the HCF of [math]10x^3y^2and250xy^2[/math] and the Factorize [br][math]10x^3y^2-250xy^2[/math] using Difference of Square method

Factorization: Difference of Squares

Learn ,Practice and Self Assess The Factorization of Difference of Squares

After you have mastered the Factorization of both Levels ,

Q1

Q2

Q3

Q4

Q5

Q6 Optional

Information: Factorization: Difference of Squares