exam Maths Puzzle Numerical Ability

Factor: 25v^2 + 30vw + 9w^2

please explain thoroughly as I would like to know how to solve on my own. thanks

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Can you please help me to write an equation for a direct variation with a graph that passes through these points: (9, -1) Placing planks at equel length end to end, jewels found that three planks where one foot short of the portch length, while four planks were two feet to long. How long was each plank?