Question

Complete the statement to describe the expression (a+b)(d+e) The expression consists of ___ factors, and each factor contains ____terms

Answer 1

The expression $(a+b)(d+e)$ consists of two factors, and each factor contains two terms.

Step-by-step explanation :

• Here, the given expression is $(a+b)(d+e)$, whose two factors are $(a+b)$ and $(d+e)$.

• Now each of $(a+b)$ and $(d+e)$ has two terms.

Let us find an expression for the product of the factors.

$\therefore (a+b)(d+e)$

$=a(d+e)+b(d+e)$

$=ad+ae+bd+be$

Here we see that the product has four terms.

Answer 2

Answer:

Step-by-step explanation:

Terms are single numbers, variables, or the product of a number and variable.A factor is one part of a product.Hint #22 / 4The expression (a+b+c)(d+e+f)(a+b+c)(d+e+f)start color #df0030, left parenthesis, a, plus, b, plus, c, right parenthesis, end color #df0030, start color #6495ed, left parenthesis, d, plus, e, plus, f, right parenthesis, end color #6495ed consists of two things multiplied together, so we say the expression has two factors. The first factor is (a+b+c)(a+b+c)start color #df0030, left parenthesis, a, plus, b, plus, c, right parenthesis, end color #df0030 and the second is (d+e+f)(d+e+f)start color #6495ed, left parenthesis, d, plus, e, plus, f, right parenthesis, end color #6495ed.Hint #33 / 4Each of the factors contains the sum of three variables. Variables connected by addition are separate terms. The expression (a+b+c)(a+b+c)start color #df0030, left parenthesis, a, plus, b, plus, c, right parenthesis, end color #df0030 contains three terms: aastart color #df0030, a, end color #df0030, bbstart color #df0030, b, end color #df0030, ccstart color #df0030, c, end color #df0030. The expression (d+e+f)(d+e+f)start color #6495ed, left parenthesis, d, plus, e, plus, f, right parenthesis, end color #6495ed also contains three terms.Hint #44 / 4The expression  (a+b+c)(d+e+f)(a+b+c)(d+e+f)left parenthesis, a, plus, b, plus, c, right parenthesis, left parenthesis, d, plus, e, plus, f, right parenthesis consists of 222 factors, and each of these factors has 333terms.