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Which expression has an equivalent value to x2 + 9x + 8 for all values of x?
a. (x + 1)(x + 8)
b. (x + 2)(x + 6)
c/ (x + 4)(x + 4)
d. (x + 5)(x + 4)

Answer :

Answer: (x + 1) (x+8) is the expression [a].

Step-by-step explanation:

Given :  x² + 9x + 8 .

To find :Which expression has an equivalent value to x2 + 9x + 8 for all values of x.

Solution : We have given that

                               x² + 9x + 8 =0

On factoring   :       x² + 8x +1x + 8 =0.

Taking common terms

            x( x+8 ) +1( x+ 8) =0.

(x + 1) (x+8) =0

Therefore , (x + 1) (x+8) is the expression [a].

a. [tex](x+1)(x+8)[/tex]

Expression

  • An expression, often known as a mathematical expression, is a well-formed finite arrangement of symbols that follows rules that vary depending on the context.
  • An expression is a collection of terms that have been combined using arithmetic operations.

Consider an expression [tex]x^2+9x+8[/tex].

[tex]x^2+9x+8=x^2+8x+x+8[/tex]

                [tex]=x(x+8)+1(x+8)\\=(x+1)(x+8)[/tex]

So, the expression a.[tex]\boldsymbol{(x+1)(x+8)}[/tex] has an equivalent value to[tex]x^2+9x+8[/tex] for all values of [tex]x[/tex].

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