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Find the missing factor that makes the equality true. 21y4=(B)(7y3)21y^4 = (B)(7y^3) B=B =

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Composition of linear and quadratic functions: find a valueright chevron icon

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Q. Find the missing factor that makes the equality true. 21y4=(B)(7y3)21y^4 = (B)(7y^3) B=B =
  1. Identify Equation and Goal: Identify the given equation and what we need to find.\newlineWe are given the equation 21y4=(B)(7y3)21y^4 = (B)(7y^3) and we need to find the value of BB that makes this equation true.
  2. Divide to Isolate B: Divide both sides of the equation by 7y37y^3 to isolate B.\newlineB=21y47y3B = \frac{21y^4}{7y^3}
  3. Simplify Right Side: Simplify the right side of the equation by canceling out common factors.\newlineB=3×7×y47×y3B = \frac{3 \times 7 \times y^4}{7 \times y^3}\newlineB=3×y4−3B = 3 \times y^{4-3}\newlineB=3yB = 3y
  4. Check Substitution: Check the result by substituting BB back into the original equation.\newline21y4=(3y)(7y3)21y^4 = (3y)(7y^3)\newline21y4=21y421y^4 = 21y^4\newlineSince both sides of the equation are equal, our value for BB is correct.

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