The product of two binomials having a common term equals the square of the common term, plus the algebraic sum of the unlike terms multiplied by the common term, plus the algebraic product of the unlike terms. Complete School Algebra - Page 103by Herbert Edwin Hawkes, William Arthur Luby, Frank Charles Touton - 1919 - 507 pagesFull view - About this book
| Herbert Ellsworth Slaught, Nels Johann Lennes - Algebra - 1917 - 674 pages
...of their squares minus twice, their product. Example 3. (jr + a) (* + Ь) = хг + (a 4- b) x + ab. **The product of two binomials having a common term equals the square of the common term plus the** sum of the unlike terms multiplied by the common term, plus the product of the unlike terms. Example... | |
| Herbert Edwin Hawkes, William Arthur Luby, Frank Charles Touton - Algebra - 1918 - 298 pages
...the product of two binomials having a common term we have the formula This expressed verbally is : **The product of two binomials having a common term...term, plus the algebraic product of the unlike terms.** V. The square of the polynomial a + b — c gives the (a+ b— c)2 = a2 + ft2 + ca+ Zab— 2ac— 2bc.... | |
| William Ledley Vosburgh, William Frederick Gentleman - Mathematics - 1919 - 328 pages
...identity may be translated into words as follows : The product of two binomials having a common term is **the square of the common term, plus the algebraic sum of the** other two terms for the coefficient of the common term, plus the product of the other two terms. For... | |
| John Charles Stone - 1921 - 274 pages
...= ^ + (a + b)x + ab. Stated in words this is, The product of two binomials having a common term is **the square of the common term, plus the algebraic sum of the** other two terms as the coefficient of the common term, plus the product of the other two terms. GEOMETRICAL... | |
| Edson Homer Taylor - Mathematics - 1922 - 180 pages
...+ 6) = x2 + (a + 6)x + ab. This formula gives the following rule: The product of two binomials with **a common term equals the square of the common term plus the** product of the common term by the sum of the other terms, plus the product of the other terms. EXAMPLE.... | |
| John William Hopkins, Patrick Healy Underwood - Algebra - 1924 - 370 pages
...(x - 3); also (x - 8) by (x + 3). x +8 x - 8 x - 3 x 2 + 3 x 2 + 8 xx 2 - 8 x - 3 x - 24 + 3 x - 24 **The product of two binomials having a common term...square of the common term plus the algebraic sum of the** other two terms multiplied by the common term plus the product of the other two terms. EXAMPLE. Factor... | |
| Herbert Edwin Hawkes, William Arthur Luby, Frank Charles Touton - Algebra - 1926 - 456 pages
...the formula (x + а) (х + b) = x* + (a + b) x + ab. This may be expressed in words as follows : IV. **The product of two binomials having a common term...term, plus the algebraic product of the unlike terms.** Study the application of IV in the following EXAMPLES 1. (x + 2)(x + 3) = x2 + (2 + 3)x + 6 = x2 +... | |
| William Raymond Longley, Harry Brooks Marsh - Algebra - 1926 - 608 pages
...rule may be stated as follows : Rule. The product of two binomials having a common term is equal to **the square of the common term, plus the algebraic sum of the** other terms times the common term, plus the product of the other terms. Example 1 . Find the product... | |
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