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Expand.
Your answer should be a polynomial in standard form.

(x+5)(x+3)=

Expand.\newlineYour answer should be a polynomial in standard form.\newline(x+5)(x+3)=(x+5)(x+3)=

Full solution

Q. Expand.\newlineYour answer should be a polynomial in standard form.\newline(x+5)(x+3)=(x+5)(x+3)=
  1. Performing Multiplication: Now, we will perform the multiplication for each term.\newlinex(x)=x2x(x) = x^2\newlinex(3)=3xx(3) = 3x\newline5(x)=5x5(x) = 5x\newline5(3)=155(3) = 15\newlineSo, (x+5)(x+3)=x2+3x+5x+15(x+5)(x+3) = x^2 + 3x + 5x + 15
  2. Combining Like Terms: Next, we combine like terms 3x3x and 5x5x to simplify the expression.x2+3x+5x+15=x2+(3x+5x)+15x^2 + 3x + 5x + 15 = x^2 + (3x + 5x) + 15=x2+8x+15= x^2 + 8x + 15
  3. Expanding and Simplifying: We have now expanded and simplified the expression. The polynomial is in standard form, which is written with the highest degree term first, followed by the terms in descending order of degree.\newlineThe final answer is x2+8x+15x^2 + 8x + 15.

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