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Mathematics

Grade10

Easy

Question

Expand using the binomial theorem.
$left parenthesis 1 plus x right parenthesis squared$

$1 + 2 x + x^{2}$
$1 - 2 x - x^{2}$
$1 + 2 x - 2 x^{2}$
$1 - 2 x + x^{2}$

hint Hint:

Expand using binomial expansion.

The correct answer is: $1 plus 2 x plus x squared$

STEP BY STEP SOLUTION
$open parentheses 1 plus space x close parentheses squared E x p a n d i n g space u sin g space b i n o m i a l space e x p a n s i o n space scriptbase C subscript 0 end scriptbase presuperscript 2 space 1 squared space x to the power of 0 space end exponent space plus space scriptbase C subscript 1 space 1 to the power of 1 space x to the power of 1 space plus scriptbase C subscript 2 space 1 to the power of 0 space x squared end scriptbase presuperscript 2 end scriptbase presuperscript 2$
$1 plus 2 x plus x squared$

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