In this chapter, we provide RD Sharma Class 8 Solutions Chapter 6 Algebraic Expressions and Identities Ex 6.7 for English medium students, Which will very helpful for every student in their exams. Students can download the latest RD Sharma Class 8 Solutions Chapter 6 Algebraic Expressions and Identities Ex 6.7 Maths pdf, free RD Sharma Class 8 Solutions Chapter 6 Algebraic Expressions and Identities Ex 6.7 Maths book pdf download. Now you will get step by step solution to each question.

Textbook | NCERT |

Class | Class 8 |

Subject | Maths |

Chapter | Chapter 6 |

Chapter Name | Algebraic Expressions and Identities |

Exercise | Ex 6.7 |

**RD Sharma Solutions for Class 8 Chapter 6 Algebraic Expressions and Identities Ex 6.7** **Download PDF**

**Question 1.**

**Find the following products :**

**Solution:**

**Question 2.Evaluate the following :**

**(i) 102 x 106**

**(ii) 109 x 107**

**(iii) 35 x 37**

**(iv) 53 x 55**

**(v) 103 x 96**

**(vi) 34 x 36**

**(vii) 994 x 1006**

**Solution:**

(i)102 x 106 = (100 + 2) (100 + 6)

(i)

= (100)

^{2}+ (2 + 6) x 100 + 2 x 6

= 10000 + 800 + 12 = 10812

**(ii)** 109 x 107 = (100 + 9) (100 + 7)

= (100)^{2} + (9 + 7) x 100 + 9 x 7

=10000 + 1600 + 63 = 11663

**(iii**) 35 x 37 = (30 + 5) (30 + 7)

= (30)^{2} + (5 + 7) x 30 + 5 x 7

= 900 + 12 x 30 + 35

= 900 + 360 + 35 = 1295

**(iv)** 53 x 55 = (50 + 3) (50 + 5)

= (50)^{2} + (3 + 5) x 50 + 3 x 5

= 2500 + 8 x 50 + 15

= 2500 + 400+ 15 = 2915

**(v)**103 x 96 = (100 + 3) (100-4)

= (100)^{2} + (3 – 4) x 100 + 3 x (-4)

= 10000+ (-1) x 100-12

= 10000 – 100 – 12 = 10000 – 112 = 9888

**(vi)** 34 x 36 = (30 + 4) (30 + 6)

= (30)^{2} + (4 + 6) x 30 + 4 x 6

= 900 + 10 x 30 + 24

= 900 + 300 + 24 = 1224

**(vii)** 994 x 1006 = (1000 – 6) (1000 + 6)

= (1000)^{2} + (-6 + 6) x 1000 + (-6) x 6

= 1000000 + 0-36

= 1000000-36 = 999964

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