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Factor completely: 3(10 x+7)+(10 x+7)^(2) Answer:

Factor completely:\newline3(10x+7)+(10x+7)2 3(10 x+7)+(10 x+7)^{2} \newlineAnswer:

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Full solution

Q. Factor completely:\newline3(10x+7)+(10x+7)2 3(10 x+7)+(10 x+7)^{2} \newlineAnswer:
  1. Identify Factors: Identify common factors in both terms.\newlineThe expression given is 3(10x+7)+(10x+7)23(10x + 7) + (10x + 7)^2. We can see that (10x+7)(10x + 7) is a common factor in both terms.
  2. Factor Out Common Factor: Factor out the common factor.\newlineWe can factor out (10x+7)(10x + 7) from both terms to get (10x+7)(3+(10x+7))(10x + 7)(3 + (10x + 7)).
  3. Simplify Inside Parentheses: Simplify the expression inside the parentheses.\newlineNow we have (10x+7)(3+10x+7)(10x + 7)(3 + 10x + 7). Combining like terms inside the parentheses gives us (10x+7)(10x+10)(10x + 7)(10x + 10).
  4. Check for Further Factoring: Check for any further factoring.\newlineThe expression (10x+7)(10x+10)(10x + 7)(10x + 10) cannot be factored further since there are no common factors in the terms inside the second parentheses.

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