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y=(x+5)^(2)

y=(x+5)2 y=(x+5)^{2}

Full solution

Q. y=(x+5)2 y=(x+5)^{2}
  1. Use FOIL Method: To expand (x+5)2(x + 5)^2, we'll use the FOIL method, which stands for First, Outer, Inner, Last.
  2. First Term: First: Multiply the first terms in each binomial, x×x=x2x \times x = x^2.
  3. Outer Terms: Outer: Multiply the outer terms, x×5=5xx \times 5 = 5x.
  4. Inner Terms: Inner: Multiply the inner terms, 5×x=5x5 \times x = 5x.
  5. Last Term: Last: Multiply the last terms in each binomial, 5×5=255 \times 5 = 25.
  6. Add Products: Now, add all the products together: x2+5x+5x+25x^2 + 5x + 5x + 25.
  7. Combine Like Terms: Combine like terms: x2+10x+25x^2 + 10x + 25.

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