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Chapter 8: Q6. (page 469)

Find each product.(x+2)(x鈭�5)

Short Answer

Expert verified

The product of the given expression is x2鈭�3x鈭�10.

Step by step solution

01

Step 1. State the concept for multiplication of algebraic expressions.

  1. The product of two factors with like signs is positive, and the product of two factors with unlike signs is negative.
  2. If x is a variable and m, n are positive integers, then(xm脳xn)=xm+n
02

Step 2. State multiplication of Two Binomials.

Let (a+b)and (c+d)are two binomials. By using the distributive law of multiplication over addition twice, their product as given below.

(a+b)(c+d)=(a+b)脳(c+d)=a脳(c+d)+b脳(c+d)=(a脳c+a脳d)+(b脳c+b脳d)=(ac+ad)+(bc+bd)=ac+ad+bc+bd

03

Step 3. Substitute the values.

Substitute the values of a, b, c and d.

a=x,b=2,c=x,d=鈭�5

width="223">(x+2)(x鈭�5)=(x+2)(x+(鈭�5))=x(x+(鈭�5))+2(x+(鈭�5))=x2+x(鈭�5)+2x+2(鈭�5)=x2鈭�5x+2x鈭�10=x2鈭�3x鈭�10

Therefore, the product of the given expression is x2鈭�3x鈭�10.

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Most popular questions from this chapter

Find the greatest common factor of each set of monomials.

10ab,30a,40a2b

Use the Distributive Property to factor each polynomial.

24am鈭�9an+40bm鈭�15bn

Factor each polynomial.

x2-10x+24

Factor each monomial completely.

35ab4

Solve each equation. Check your solutions.40x2+2x=24.
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