Question

(32) square-(28) square

Answer 1

Step-by-step explanation:

${32}^{2} = 960 \\ - 28 ^{2} = 784$

Answer 2

$\: \: \: \: \: \sf \mapsto{32}^{2} - {28}^{2}$

$\: \: \: \: \: \sf \mapsto{(30 + 2)}^{2} - {(30 - 2)}^{2}$

${ \: \: \: \: \: \sf \mapsto( {30}^{2} + {2}^{2} + 2 \times 2 \times 30) - ({30}^{2} + {2}^{2} - 2 \times 2 \times 30)}$

${ \: \: \: \: \: \sf \mapsto( 900+ 4 + 120) - (900 + 4 - 120}$

${ \: \: \: \: \: \sf \mapsto\cancel{900} \cancel{ - 4} + 120 \cancel{ - 900} \cancel{ - 4} + 120}$

${ \: \: \: \: \: \sf \mapsto240}$

$\frak{{32}^{2} - {28}^{2} = 240}$

• $\begin{gathered}\\\begin{gathered}\begin{gathered}\begin{gathered}\begin{gathered}\gray{\begin{gathered}\tiny\begin{gathered}\small{\small{\small{\small{\small{\small{\small{\small{\small{\small{\begin{gathered}\begin{gathered}\begin{gathered}\\\\\begin{gathered}\begin{gathered}\begin{gathered}\begin{gathered}\red{ \bigstar} \: \underline{\bf{\orange{More \: Useful \: Formula}}}\\ {\boxed{\begin{array}{cc}\dashrightarrow \sf(a + b)^{2} = {a}^{2} + {b}^{2} + 2ab \\\\\dashrightarrow \sf(a - b)^{2} = {a}^{2} + {b}^{2} - 2ab \\\\\dashrightarrow \sf(a + b)(a - b) = {a}^{2} - {b}^{2} \\\\\dashrightarrow \sf(a + b) ^{3} = {a}^{3} + b^{3} + 3ab(a + b) \\\\ \dashrightarrow\sf(a - b) ^{3} = {a}^{3} - b^{3} - 3ab(a - b) \\ \\\dashrightarrow\sf a ^{3} + {b}^{3} = (a + b)(a ^{2} + {b}^{2} - ab) \\\\\dashrightarrow \sf a ^{3} - {b}^{3} = (a - b)(a ^{2} + {b}^{2} + ab )\\\\\dashrightarrow \sf{a²+b²=(a+b)²-2ab}\\ \end{array}}}\end{gathered}\end{gathered}\end{gathered}\end{gathered}\end{gathered}\end{gathered}\end{gathered}}}}}}}}}}}\end{gathered}\end{gathered}}\end{gathered}\end{gathered}\end{gathered} \end{gathered}\\ \end{gathered}$