factorise( 2a +3b)^2 -(3a+2b)^2
please solve it's with step by step explanation
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Answer:
( 5a + b) (5b - a)
Step-by-step explanation:
( 2a + 3b )^2 - ( 3a + 2b )^2
4a^2 - 12ab + 9b^2 - ( 9a^2 - 12ab + 4b^2 )
4a^2 - 12ab + 9b^2 - 9a^2 + 12ab - 4b^2
5b^2 - 5a^2
- 5 × ( a^2 - b^2 )
( 5a + b) (5b - a)
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