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Factor completely: 5x(4x+3)+2(4x+3) Answer:

Factor completely:\newline5x(4x+3)+2(4x+3) 5 x(4 x+3)+2(4 x+3) \newlineAnswer:

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Full solution

Q. Factor completely:\newline5x(4x+3)+2(4x+3) 5 x(4 x+3)+2(4 x+3) \newlineAnswer:
  1. Identify Common Factor: Identify the common factor in both terms.\newlineBoth terms 5x(4x+3)5x(4x+3) and 2(4x+3)2(4x+3) have a common factor of (4x+3)(4x+3).
  2. Factor Out Common Factor: Factor out the common factor (4x+3)(4x+3). The expression can be written as (4x+3)(5x+2)(4x+3)(5x+2) by factoring out the common factor.
  3. Check Factored Expression: Check the factored expression by distributing to ensure it matches the original expression.\newline(4x+3)(5x)+(4x+3)(2)(4x+3)(5x) + (4x+3)(2) should result in the original expression 5x(4x+3)+2(4x+3)5x(4x+3)+2(4x+3).\newlineDistributing gives us 20x2+15x+8x+620x^2 + 15x + 8x + 6, which simplifies to 20x2+23x+620x^2 + 23x + 6.\newlineThis does not match the original expression, indicating a math error in the distribution.

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