Question

:25m^2-(m+n)^2; 100-(3x+7y)^2; 1-(x^2+y^2)2; x^6y^2-(x-y)^2; a^4b^2-(c^2-d)^2; 9a^2b^4-(c-d)^2

Answer 1

1.
$25 {m}^{2} - (m + n) { }^{ 2} \\ 25 {m}^{2} - (m {}^{2} + 2mn + {n}^{2}) \\ 25 {m}^{2} - m {}^{2} - 2mn - {n}^{2} \\ 24 {m}^{2} - 2mn - {n}^{2}$
2.
$100 - (3x + 7y) {}^{2} \\ 100 - (9 {x}^{2} + 42xy + 49y {}^{2} ) \\ 100 - 9 {x}^{2} - 42xy - 49 {y}^{2} \\$
3.
$1 -( {x}^{2} + {y}^{2} )2 \\ 1 - (2 {x}^{2} + 2 {y}^{2} ) \\ 1 - 2 {x}^{2} - 2 {y}^{2}$
4.
${x}^{6} {y}^{2} - (x - y) {}^{2} \\ {x}^{6} {y}^{2} - ( {x}^{2} - 2xy + {y}^{2} ) \\ {x}^{6} {y}^{2} - {x}^{2} + 2xy - {y}^{2}$
5.
$a {}^{4} b {}^{2} - (c {}^{2} - d) {}^{2} \\ a {}^{4} b {}^{2} - (c {}^{4} - 2 {c}^{2} d + {d}^{2} ) \\ a {}^{4} {b}^{2} - {c}^{4} + 2 {c}^{2} d - {d}^{2}$
6.
$9 {a}^{2} {b}^{4} - (c - d) {}^{2} \\ 9 {a}^{2} {b}^{4} - ( {c}^{2} - 2cd + {d}^{2} ) \\ 9 {a}^{2} b {}^{4} - {c}^{2} + 2cd - {d}^{2}$