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Expansion of (a + b)(c +d). Calculate the area of a. PQTU b. QRST Add the areas of PQTU and QRST Write down the length of PR, calculate the area of rectangle PRSU Conclude!. (a + b)(c +d). + bc + bd. ac + ad. Example. 1. ( + 2)( + 5). ( + 2)( + 5). = + 5. + 2 + 10.
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Calculate the area of a. PQTU b. QRST • Add the areas of PQTU and QRST • Write down the length of PR, calculate the area of rectangle PRSU • Conclude!
(a + b)(c +d) + bc + bd ac + ad
Example 1. ( + 2)(+ 5) ( + 2)( + 5) = + 5 + 2 + 10 = + 7 + 10
Example 1. ( + 3)(- 5) ( + 3)( - 5) = - 5 + 3 - 15 = - 2 - 15