Question

ＨＥＹＡ!

Need help!✌️

Factorise

${a}^{2} + \frac{ {b}^{2} }{4} + \frac{ {c}^{2} }{9} + ab + \frac{bc}{3} + \frac{2}{3} ca$
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Answer 1

Hlw !❤️

Question :

${a}^{2} + \frac{ {b}^{2} }{4} + \frac{ {c}^{2} }{9} + ab + \frac{bc}{3} + \frac{2}{3} ca$

Solution :

${a}^{2} + (\frac{b}{2} )^{2} + (\frac{c}{3} ) ^{2} + 2 \times \frac{b}{2} \times \frac{c}{3} + 2 \times a \times \frac{c}{3}$

$(a + \frac{b}{2} + \frac{c}{3}) ^{2}$

$(a + \frac{b}{2} + \frac{c}{3} )(a + \frac{b}{2} + \frac{c}{3} )$

Hope this helps

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Answer 2

‍ $\huge{ \underline{ \mathtt{SouLutioN:-}}}$$<font color="red">$

$\large {a}^{2} + (\frac{b}{2} )^{2} + (\frac{c}{3} ) ^{2} + 2 \times \frac{b}{2} \times \frac{c}{3} + 2 \times a \times \frac{c}{3}$

$\large (a + \frac{b}{2} + \frac{c}{3}) ^{2}$

$\large (a + \frac{b}{2} + \frac{c}{3} )(a + \frac{b}{2} + \frac{c}{3} )$

$\sf{\green{Hope \: its \: help \: you}}$