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" That is, the square of the difference of two numbers is equal to the square of the first number, minus twice the product of the two numbers, plus the square of the second number. "
First Course in Algebra - Σελίδα 102
των Walter Burton Ford, Charles Ammerman - 1919 - 334 σελίδες
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Higher Algebra

George Egbert Fisher, Isaac Joachim Schwatt - 1901 - 646 σελίδες
...multiplication, we have (a - e)1 = (a - 6) (a - 6)= as - 2a6 + b\ That is, the square of the difference of two numbers is equal to the square of the first number, minus twice the product of the two numbers, plus the square of the second number. Eg, (3 x - 7 y)* = (3 -r)s - 2 (3 x) (7 y) + (7 y)*...

Complete Secondary Algebra

George Egbert Fisher - 1901 - 622 σελίδες
...4 я? + 20 xy + 25 y\ 3. By actual multiplication, we have That is, the square of the difference of two numbers is equal to the square of the first number, minus twice the product of the two numbers, plus the square of the second number. 4. Observe that this type-form is equivalent to that...

Academic Algebra

William James Milne - 1901 - 476 σελίδες
...square of (a — &) differ from the square of (а+&)? 93. PRINCIPLE. — The square of the difference of two numbers is equal to the square of the first number, minus twice the product of the first and second, plus the square of the second. EXAMPLES Expand by inspection : 1. (ж — m) (ж...

Higher Algebra

George Egbert Fisher, Isaac Joachim Schwatt - 1901 - 664 σελίδες
...multiplication, we have (a - 6)2 = (a - 6) (o - 6) = a2 - 2 ab + b\ That is, the square of the difference of tivo numbers is equal to the square of the first number, minus twice the product of the two numbers, plus the square of the second number. Eg, (3 x - 1 2/)2 = (3 .г-)2 - 2 (3 x) (7 y) + (7 t/)2...

Elements of Algebra with Exercises

George Egbert Fisher, Isaac Joachim Schwatt - 1902 - 504 σελίδες
...multiplication, we have (a - 6)2 = (a - 6) (a - 6) = a2 - 2 ab + 62. That is, the square of the difference of two numbers is equal to the square of the first number, minus twice the product of the two numbers, plus the square of the second number. Eg, (3x-7y? = (3 x)> - 2 (3 a>) (7 y) + (7 y? Observe...

A First Book of Algebra

John William Hopkins - 1904 - 276 σελίδες
...differa2 — ab ence of a(a — 6) and b(a — 6). - ab + ft2 Hence, The square of the difference of two numbers is equal to the square of the first number minus twice the product of the first number and the second number plus the square of the second number. G-eometric Proof. Let AB =...

High School Algebra: Elementary Course

Herbert Ellsworth Slaught, Nels Johann Lennes - 1907 - 328 σελίδες
...type exhibited in the figure, page 83. Translated into words this identity is : The square of the sum of any two numbers is equal to the square of the first plus twice the product of the two numbers plus the square of the second. 88. Similarly we obtain the...

Standard Algebra

William James Milne - 1908 - 476 σελίδες
...also that (x — y](x — y) = я? — 2 xy + y2. 108. PRINCIPLE. — T!ie square of the difference of two numbers is equal to the square of the first number, minus twice the product of the first and second, plus the яqиаге of the second. • EXERCISES 109. Expand by inspection, and...

Standard Algebra

William James Milne - 1908 - 480 σελίδες
...+ &2; also that (x — ?/)(» — у)=я? — 2 108. PRINCIPLE. — 7%e square of the difference of two numbers is equal to the square of the first number, minus twice the ¡induct of the first and second, plus the square of the second. EXERCISES 109. Expand by inspection,...

High School Algebra: Complete Course

Herbert Ellsworth Slaught, Nels Johann Lennes - 1908 - 520 σελίδες
...type exhibited in the figure, page 83. Translated into words this identity is : The square of the sum of any two numbers is equal to the square of the first plus twice the product of the two numbers plus the square of the second. 88. Similarly we obtain the...




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