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Multiply. Simplify your answer.\newline20su22u2×4s2u2\frac{20su^2}{2u^2} \times 4s^2u^2

Full solution

Q. Multiply. Simplify your answer.\newline20su22u2×4s2u2\frac{20su^2}{2u^2} \times 4s^2u^2
  1. Rewrite Problem: Rewrite the multiplication problem to make it easier to handle. The problem is to multiply 20su22u2\frac{20su^2}{2u^2} by 4s2u24s^2u^2.
  2. Simplify Fraction: Simplify the fraction 20su22u2\frac{20su^2}{2u^2} by dividing both the numerator and the denominator by the common term 2u22u^2. This gives us 10s1\frac{10s}{1} or simply 10s10s.
  3. Multiply Simplified Fraction: Now multiply the simplified fraction 10s10s by 4s2u24s^2u^2. This is done by multiplying the numerators together and since the denominator is 11, it remains unchanged. So, 10s×4s2u2=40s3u210s \times 4s^2u^2 = 40s^3u^2.
  4. Check for Simplification: Check for any further simplification. Since there are no common factors in the numerator and denominator, and no variables to combine, the expression is already in its simplest form.

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