Question

If x-a whole square+y-b whole square​

Answer 1

⠀⠀⠀⠀${ \huge {\mathtt{ \green{QUESTION}}}} </p><p>$

If x-a whole square+y-b whole square

━━━━━━━━━━━━━━━━━━━━━━━━━

⠀⠀⠀⠀⠀$\huge{ \purple{ \bold{ \bf{AnSweR }}}}$

$\bf : \implies {x}^{2} + {y}^{2} + {a}^{2} + {b}^{2} - 2(xa + yb)$

⠀⠀⠀⠀⠀$\huge\underline{ \underline{ \orange{ \bold{solution}}}}$

$\bf \: (x - a) {}^{2} + (y - b) {}^{2} \\ \\ \bf : \implies \: by\:using\\\\ \bf : \implies\underline{\boxed {\bf{\: (a - b) {}^{2} = a {}^{2} + b {}^{2} - 2ab }}}\\ \\ \bf : \implies \: {x}^{2} + a {}^{2} - 2xa + y {}^{2} + b {}^{2} - 2yb \\ \\\bf : \implies \: {x}^{2} + {y}^{2} + {a}^{2} + {b}^{2} - 2xa - 2yb \\ \\ \bf : \implies {x}^{2} + {y}^{2} + {a}^{2} + {b}^{2} - 2(xa + yb)$

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Answer 2

⠀⠀⠀⠀{ \huge {\mathtt{ \green{QUESTION}}}}QUESTION

If x-a whole square+y-b whole square

━━━━━━━━━━━━━━━━━━━━━━━━━

⠀⠀⠀⠀⠀\huge{ \purple{ \bold{ \bf{AnSweR }}}}AnSweR

\bf : \implies {x}^{2} + {y}^{2} + {a}^{2} + {b}^{2} - 2(xa + yb):⟹x

2

+y

2

+a

2

+b

2

−2(xa+yb)

⠀⠀⠀⠀⠀\huge\underline{ \underline{ \orange{ \bold{solution}}}}

solution

\begin{gathered}\bf \: (x - a) {}^{2} + (y - b) {}^{2} \\ \\ \bf : \implies \: by\:using\\\\ \bf : \implies\underline{\boxed {\bf{\: (a - b) {}^{2} = a {}^{2} + b {}^{2} - 2ab }}}\\ \\ \bf : \implies \: {x}^{2} + a {}^{2} - 2xa + y {}^{2} + b {}^{2} - 2yb \\ \\\bf : \implies \: {x}^{2} + {y}^{2} + {a}^{2} + {b}^{2} - 2xa - 2yb \\ \\ \bf : \implies {x}^{2} + {y}^{2} + {a}^{2} + {b}^{2} - 2(xa + yb)\end{gathered}

(x−a)

2

+(y−b)

2

:⟹byusing

:⟹

(a−b)

2

=a

2

+b

2

−2ab

:⟹x

2

+a

2

−2xa+y

2

+b

2

−2yb

:⟹x

2

+y

2

+a

2

+b

2

−2xa−2yb

:⟹x

2

+y

2

+a

2

+b

2

−2(xa+yb)

━━━━━━━━━━━━━━━━━━━━━━━━━

Thanks