factorise by splitting middle term 2✓3x square + 7x - 3✓3
Answers
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0
Step-by-step explanation:
We have, x 2 +3 3 x+6=x 2 +( 3 +2 3 )x+6
(∵ 3 +2 3 =3 3
and (
3
)(2
3
)=6 )
=x
2
+
3
x+2
3
x+(
3
)(2
3
)
={x
2
+
3
x}+{2
3
x+(
3
)(2
3
)}
=x(x+
3
)+2
3
(x+
3
)
=(x+
3
)(x+2
3
)
∴x
2
+3
3
x+6=(x+
3
)(x+2
3
)
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