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(5b3+9b+4)(9b4)=(5b^3+9b+4) -(9b-4)=

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Q. (5b3+9b+4)(9b4)=(5b^3+9b+4) -(9b-4)=
  1. Write Problem, Distribute Negative: Write down the problem and distribute the negative sign through the second parentheses.\newline(5b3+9b+4)(9b4)=5b3+9b+49b+4(5b^3 + 9b + 4) - (9b - 4) = 5b^3 + 9b + 4 - 9b + 4
  2. Group Like Terms: Group the like terms.\newline5b3+9b+49b+4=5b3+(9b9b)+(4+4)5b^3 + 9b + 4 - 9b + 4 = 5b^3 + (9b - 9b) + (4 + 4)
  3. Combine Like Terms: Simplify the expression by combining like terms. 5b3+(9b9b)+(4+4)=5b3+0b+85b^3 + (9b - 9b) + (4 + 4) = 5b^3 + 0b + 8
  4. Remove Zero Term: Since 9b9b9b - 9b equals 00, it can be removed from the expression.\newline5b3+0b+8=5b3+85b^3 + 0b + 8 = 5b^3 + 8

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