Question

facotrise the following 25-a^2-b^2-2ab

Answer 1

25-a^2-b^2-2ab

5^2-(a^2+2ab+b^2)

5^2-(a+b)^2             using a^2-b^2=(a+b)(a-b)

(5+a+b)(5-a-b)

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Answer 2

HERE IS YOUR ANSWER..⬇⬇

$\blue{\underline{SOLUTION}}$ ➡

$25 - a {}^{2} - b {}^{2} - 2 ab \\ \\ = 25 - (a {}^{2} + b {}^{2} + 2 ab) \\ \\ = (5) {}^{2} -(a + b) {}^{2} \: \: \: \: [ using \: \: (x + y) {}^{2} = x {}^{2} + y{}^{2} + 2xy \: \: identy]\\ \\ = (5 + a + b)(5 - a - b) \: \: \: \: [ using \: \: x {}^{2} - y {}^{2} = ( x + y )( x - y ) \: \: identy ]$

✝✝$\blue{\underline{.HOPE \: \: IT \: \: HELPS \: \: YOU.}}$✝✝