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Expand. Your answer should be a polynomial in standard form. (5a+2)(a+4)=

Expand.\newlineYour answer should be a polynomial in standard form.\newline(5a+2)(a+4)=(5a+2)(a+4)=

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Full solution

Q. Expand.\newlineYour answer should be a polynomial in standard form.\newline(5a+2)(a+4)=(5a+2)(a+4)=
  1. Simplifying each term: Now, we will simplify each term.\newline5a(a)=5a25a(a) = 5a^2\newline5a(4)=20a5a(4) = 20a\newline2(a)=2a2(a) = 2a\newline2(4)=82(4) = 8\newlineSo, (5a+2)(a+4)=5a2+20a+2a+8(5a+2)(a+4) = 5a^2 + 20a + 2a + 8
  2. Combining like terms: Next, we combine like terms, which are the terms with the same variable raised to the same power.\newline5a2+20a+2a+8=5a2+(20a+2a)+85a^2 + 20a + 2a + 8 = 5a^2 + (20a + 2a) + 8\newline=5a2+22a+8= 5a^2 + 22a + 8

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