factories the following (2to10) expression 25(a+b)²-16(a-b)²
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Step-by-step explanation:
25 (a + b)² - 16 (a - b)²
= 5²(a + b)² - 4² (a - b)²
= [5 (a+b) ]² - [4 (a-b) ]²
= (5a + 5b)² - (4a - 4b)²
= (5a + 5b + 4a - 4b ) ( 5a + 5b - 4a + 4b )
= (9a + b) ( a - 9b)
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