Question

Product of (a-7) ( a-7) is

Answer 1

SOLUTION

TO DETERMINE

Product of (a-7) ( a-7)

EVALUATION

SOLVE USING IDENTITY

We are aware of the identity that

$\sf{ {(a - b)}^{2} = {a}^{2} - 2ab + {b}^{2} \: }$

Now

$\sf{ \: (a - 7)(a - 7) \: }$

$= \sf{ \: {(a - 7)}^{2} \: }$

$\sf{ = {a}^{2} - 2 \times a \times 7+ {(7)}^{2} \: } \: (using \: above \:identity)$

$\sf{ = {a}^{2} - 14a + 49 \: }$

USING MULTIPLICATION

$\sf{ \: (a - 7)(a - 7) \: }$

$= \sf{ \: a(a - 7) - 7(a - 7) \: }$

$\sf{ = {a}^{2} - 7a - 7a + 49 }$

$\sf{ = {a}^{2} - 14a + 49 }$

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