Chapter 8.4, Problem 28MCQ

To determine

To find the product of given two polynomials.

Answer to Problem 28MCQ

  $x^2+4x+4$

Explanation of Solution

Given:

  ${\left(x+2\right)}^2$

Formula used:

Square Formula

  ${\left(a\pm b\right)}^2=a^2\pm 2ab+b^2$

Calculation:

Consider the given expression,

  $\Rightarrow {\left(x+2\right)}^2$

  $\Rightarrow x^2+2\times \left(x\right)\times \left(2\right)+2^2$      [ $\because$${\left(a\pm b\right)}^2=a^2\pm 2ab+b^2$ ]

  $\Rightarrow x^2+4x+4$

Conclusion:

Therefore, product of the given polynomials is $x^2+4x+4$ .