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" 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 103
by Herbert Edwin Hawkes, William Arthur Luby, Frank Charles Touton - 1919 - 507 pages
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Practical Elementary Algebra

Joseph Victor Collins - Algebra - 1908 - 440 pages
...X* + (a + b)x + ab. »' + (« + b)x + ab Changing this formula into a theorem, we have THEOREM IV. The product of two binomials having a common term equals the square of the commom term, plus the algebraic sum of the other terms times the common term, plus the algebraic product...
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First Course in Algebra

Herbert Edwin Hawkes, William Arthur Luby, Frank Charles Touton - Algebra - 1910 - 374 pages
...gives the formula (x + a)(x + 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. EXERCISES Expand by the preceding formula : 1. (x .+ 1) (x + 2). 6. O + 1) (n - 2). 11. (a -i)(a- 2)....
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First Course in Algebra

Herbert Edwin Hawkes, Frank Charles Touton, William Arthur Luby - Algebra - 1910 - 368 pages
...gives the formula (x + a)(x+ b) = x* + (a + b)x+ab. This may be expressed in words as follows : IV. The product of two binomials having a common term equals the square of the common term., plus the algebraiс sum of the unlike terms multiplied by the common term, plus the algebraic product of the...
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Practical Algebra, First Year Course, Book 1

Joseph Victor Collins - Algebra - 1910 - 301 pages
...я? + (a + b)x + ab. ж2 + (a + fyx + ab Changing this formula into a theorem, we have THEOREM IV. The product of two binomials having a common term equals the square of the common term, and the algebraic sum of the other terms times the common term, and the algebraic product of the other...
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Elementary Algebra: first course

John Charles Stone, James Franklin Millis - Algebra - 1911 - 700 pages
...product of two binomials having a common term, take the square of tlie common term, plus the alyebntic sum of the unlike terms multiplied by the common term, plus the algebraic product of the unlike terms. (a + by- = a- + 2ab + ba-and (a - 6)2 = a2 - 2 ab + 62. Hence, to square a binomial, take the square...
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Practical Algebra, 2d Course by Jos. V. Collins, Book 2

Joseph Victor Collins - Algebra - 1911 - 330 pages
...-160-'. 13. 25^-36. 14. 4me-l. 15. 49 a4 -|62. 16. a2m-b2". 17. ¡- ж-yz2 — 25 n2. 66. THEOIÍEM IV. The product of two binomials having a common term equals the square of the common term, and the algebraic sum of the other two terms times the common term, and the algebraic product of the...
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Elementary Algebra: Second Course

John Charles Stone, James Franklin Millis - Algebra - 1913 - 330 pages
...+ 6) = z2 + (а + 6) x + ab. Hence, to find the product of two binomials having a common term, take the square of the common term, plus the algebraic...term, plus the algebraic product of the unlike terms. (a + by- = a2 + 2 ab + 62 and (a - 6)2 = a2 — 2 ab + *'. ELEMENTARY ALGEBRA Hence, the square of...
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Elementary Algebra

John William Hopkins, Patrick Healy Underwood - Algebra - 1912 - 362 pages
...а; +8 х - 8 а; -3 а; +3 а^ + 8 a/ a? — 8a; -За;- 24 + 3 z - 24 a? + 5a;-24 a?-5a;-24 Hence, the product of two binomials having a common term equals the square of the common term, the algebraic sum of the other two terms multiplied by the common term, and the product of the other...
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Academic Algebra

George Wentworth, David Eugene Smith - Algebra - 1913 - 458 pages
...7 x + a x +5 x +b 3?+ 7 ж б ж + 35 я? + ase, Ъх + ab аг" + 12ж + 35 ж2+(а + г>)ж + а6 The product of two binomials having 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. That...
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School Algebra, Book 2

George Albert Wentworth - 1913 - 296 pages
...of their squares. That is, (a + ft) (a - ft) = a2 - ft2. Therefore (3m + 4) (3m- 4) = 9m2 - 1в. 4. The product of two binomials having 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. That...
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