Step-by-step Solution

Solve the product $\left(x+2\right)\left(x+2\right)$

Go!
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Final Answer

$x^2+4x+4$

Step-by-step explanation

Problem to solve:

$\left(x+2\right)\left(x+2\right)$
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When multiplying two powers that have the same base ($x+2$), you can add the exponents

$\left(x+2\right)^2$
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A binomial squared (sum) is equal to the square of the first term, plus the double product of the first by the second, plus the square of the second term. In other words: $(a+b)^2=a^2+2ab+b^2$

  • Square of the first term: $\left(x\right)^2 = x^2$
  • Double product of the first by the second: $2\left(x\right)\left(2\right) = 2\cdot 2x$
  • Square of the second term: $\left(2\right)^2 = 2^2$

$x^2+4x+4$

Final Answer

$x^2+4x+4$

Problem Analysis

$\left(x+2\right)\left(x+2\right)$

Main topic:

Special products

Time to solve it:

~ 0.07 seconds