How to factorise 100 - (x-5)2
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72
Solution
1) This fits the form a²−b²Rewrite it where a=10 and b=x−5
10²−(x−5)²
2) Use Difference of Squares: a²−b²=(a+b)(a−b)
(10+x−5)(10−x+5)
3) Simplify 10+x−5 to x+5
(x+5)(10−x+5)
4) Simplify 10−x+5 to 15−x
(x+5)(15−x)
1) This fits the form a²−b²Rewrite it where a=10 and b=x−5
10²−(x−5)²
2) Use Difference of Squares: a²−b²=(a+b)(a−b)
(10+x−5)(10−x+5)
3) Simplify 10+x−5 to x+5
(x+5)(10−x+5)
4) Simplify 10−x+5 to 15−x
(x+5)(15−x)
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31
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