Factorise 5x+5y+x2+xy completely.
Question
Factorise 5x+5y+x2+xy completely.
Solution
Sure, let's factorise the expression step by step:
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First, we can group the terms to make the factorisation easier: (5x + x^2) + (5y + xy)
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Then, we factor out the common factors in each group: x(5 + x) + y(5 + x)
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Now, we can see that (5 + x) is a common factor in both terms, so we can factor that out as well: (5 + x)(x + y)
So, the expression 5x + 5y + x^2 + xy factorises to (5 + x)(x + y).
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