Factorise 7r2+7rs−4r−4s completely.
Question
Factorise 7r2+7rs−4r−4s completely.
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Solution
Sure, let's factorise the expression step by step:
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First, we can group the terms to make it easier to factorise: (7r^2 + 7rs) - (4r + 4s)
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Then, we can factor out the common factors in each group: 7r(r + s) - 4(r + s)
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Now, you can see that (r + s) is a common factor in both terms, so we can factor that out: (7r - 4)(r + s)
So, the expression 7r^2 + 7rs - 4r - 4s factorises to (7r - 4)(r + s).
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