# Exercise 8.4 class 8 solution

#### Exercise 8.4 class 8 solution-Introduction

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#### Exercise 8.4 class 8 solution-Multiplying a polynomial by a polynomial.

Exercise 8.4 class 8 solution- multiplying a binomial by other binomial

To multiply a binomial (an expression with two terms) by another binomial, you can use the distributive property. This involves distributing each term in the first binomial to each term in the second binomial. Let’s say you want to multiply the binomial (a+b)by the binomial (c−d). Here are the steps:

1. Distribute the terms in the first binomial to the terms in the second binomial:(a+b)(c−d)Distribute a and b to both terms in the second binomial:a(c−d)+b(c−d)
2. Apply the distributive property for each term:
• a⋅c−a⋅d+b⋅c−b⋅d
• So, the product of the binomial (a+b) and the binomial (c−d) is (ac−ad+bc−bd).

Example 8.4.1 Multiply (7a+b) and (a+3b).

Solve.Distribute 7a and b from the first binomial to both terms in the second binomial:

7a(a+3b)+b(a+3b)

Now, apply the distributive property for each term:

7a⋅a+7a⋅3b+b⋅a+b⋅3b

Example 8.4.2 2a^2 + 3b and (5a-3b)

solve.To multiply the expressions 2a^2+3b and 5a−3b, you can use the distributive property, which involves multiplying each term in the first expression by each term in the second expression. Here’s how to do it:

#### Exercise 8.4 class 8 solution – Multiplying a binomial by a trinomial

When multiplying a binomial (an expression with two terms) by a trinomial (an expression with three terms), you can use the distributive property to distribute each term from the binomial to each term in the trinomial. Here’s how to do it:

Let’s say you want to multiply the binomial (a+b) by the trinomial (x+y+z). Here are the steps:

Example 8.4.3 simplify (a+b)(2a+3b-2c)

solve.To simplify the expression (a+b)(2a+3b−2c), you can use the distributive property. Multiply each term in the first binomial by each term in the second binomial. Here’s how to do it:

(a+b)(2a+3b−2c)

Distribute the terms from the first binomial to the terms in the second binomial:

a(2a+3b−2c)+b(2a+3b−2c)

Now, apply the distributive property for each term:

a⋅2a+a⋅3b−a⋅2c+b⋅2a+b⋅3b−b⋅2c

Simplify each term:

#### Exercise 8.4 class 8 solution- exercise preview

Our Exercise 8.4 Preview is designed to give you a taste of what’s in store. You’ll find a selection of math problems and questions that challenge your analytical and problem-solving skills. It’s a glimpse into the wonderful world of math exercises that will not only sharpen your mathematical prowess but also help you build the confidence you need to excel in your Class 8 studies.

#### Exercise 8.4 class 8 solution- solution pdf

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8.4

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