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In math, what does ab, a(b+c), and (a+b) (c+d) mean?

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In mathematics: ab: This represents the product of two numbers, 'a' and 'b'. It's a shorthand notation for multiplication. For example, if a = 3 and b = 4, then ab = 3 * 4 = 12. a(b+c): This is an algebraic expression where 'a' is multiplied by the sum of 'b' and 'c'. To simplify, you distribute...
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In mathematics:

  1. ab: This represents the product of two numbers, 'a' and 'b'. It's a shorthand notation for multiplication. For example, if a = 3 and b = 4, then ab = 3 * 4 = 12.

  2. a(b+c): This is an algebraic expression where 'a' is multiplied by the sum of 'b' and 'c'. To simplify, you distribute 'a' to both 'b' and 'c' inside the parentheses. It is expressed as ab + ac. For example, if a = 2, b = 3, and c = 5, then a(b+c) = 2(3+5) = 2 * 8 = 16.

  3. (a+b)(c+d): This is an algebraic expression representing the product of the sum of 'a' and 'b' with the sum of 'c' and 'd'. To simplify, you use the distributive property to multiply each term in the first set of parentheses by each term in the second set of parentheses. For example, if a = 2, b = 3, c = 4, and d = 5, then (a+b)(c+d) = (2+3)(4+5) = 5 * 9 = 45.

 
 
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