Question

What must be added to 4x²-12x+7 to make it a whole square?​

Answer 1

Answer:

2 should be added to make it the whole square.

Answer 2

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QuestioN :

$\tt \mapsto \: What \: \: must \: \: be \: \: added \: \: to \: \: (4x²-12x+7) \: \: to \: \: make \: \: it \: \: a \: \: whole \: \: square?$

SolutioN :

$\: \: \: \: \: \: \: \: \: \: \: \: \sf \: 4 {x}^{2} - 12x + 7$

$\implies \sf \: \{ {(2x)}^{2} - 2 \times 2x \times 3 + {(3)}^{2} \}- 2$

$\sf \implies \: {(2x - 3)}^{2} - 2$

$\sf \: Hence,$

${ \underline{ \boxed{ \sf \: +2 \: \: should \: \: be \: \: added \: \: to \: \: make \: \: it \: \: a \: \: whole \: \: square}}}$

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HOPE THIS IS HELPFUL...