Question

Expand:

(i) (y – √3) square root 2



(ii) (x – 2y – 3z) square root 2



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Answer 1

Step-by-step explanation:

i)

$(y - \sqrt{3} ) {}^{2}$

$y {}^{2} + 3$

Answer 2

Answer:

\begin{gathered}( {a + b + c)}^{2} = {a}^{2} + {b}^{2} + {c}^{2} + 2ab + 2bc + 2ca \\ \\ so \\ \\ ( { \sqrt{2} x + 2y - \sqrt{3}z )}^{2} = \\ \\ ({\sqrt{2} x})^{2} + ({2y})^{2} + ({\sqrt{3}z})^{2} + 2( \sqrt{2}x)(2y) \\ \\ + 2(2y)( - \sqrt{3} z) + 2( - \sqrt{3}z) ( \sqrt{2}x)\\ \\ = 2 {x}^{2} + 4 {y}^{2} + 3 {z}^{2} + 4 \sqrt{2} xy - 4 \sqrt{3} yz - 2 \sqrt{6}xz \\ \\ \end{gathered}

Step-by-step explanation:

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