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" That is, the square of the sum of two numbers is equal to the square of the first number, plus twice the product of the two numbers, plus the square of the second number. "
Higher Arithmetic: Designed for the Use of High Schools, Academies, and ... - Σελίδα 309
των George Roberts Perkins - 1851 - 342 σελίδες
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Elementary Algebra

Arthur Schultze - 1905 - 482 σελίδες
...special mention : II. (ab)- = a-- III. (а + 6)(а-6) = о2-о2. Expressed in general language: I. Tlie square of the sum of two numbers is equal to the square of the first, plus twice the product of ike first and the second, plus the square of the second. II. The square of...

Advanced Algebra

Arthur Schultze - 1906 - 584 σελίδες
...special mention : П. (а-6)2 = а2III. (а + 6)(а-6) = а2-62. Expressed in general language : I. The square of the sum of two numbers is equal to the square of the first, plus twice the product of the first and the second, plus the square of the second. II. The square of...

Advanced Algebra

Arthur Schultze - 1906 - 618 σελίδες
...special mention : П. (а-6)2 = а2III. (а + 6)(а-6) = а2-62. Expressed in general language: I. The square of the sum of two numbers is equal to the square of the first, plus twice the product of the first and the second, plus the square of the second. II. TJie square...

The Practice of Instruction: A Manual of Method General and Special

John William Adamson - 1907 - 548 σελίδες
...formula being translated • into ordinary language and committed to memory in the latter form — eg the square of the sum of two numbers is equal to the sum of their squares added to twice their product. Memoriter work has become so discredited in recent...

Standard Algebra

William James Milne - 1908 - 476 σελίδες
...that (a + 6) (a + 6) = a? + 2 ab + b2; also that (x + y)(x + y) = я? -\-2xy + f. 105. PRINCIPLE. — The square of the sum of two numbers is equal to the...square of the first number, plus twice the product of t be first and second, pins the square of the second. Since 5 a3 X 5 a3 = 25 a6, 3 aV x 3 a465 = 9...

An Arithmetic for Upper Grades

John Henry Walsh - 1908 - 314 σελίδες
...+ 20 times 5 + 52 (20 + 5) times (20 + 5) = 202 + twice (20 x 5) + 52 ; or 400 + 200 + 25, or 625. The square of the sum of two numbers is equal to the square of the first, plus twice the product of the first by the second, plus the square of the second. 394. Oral Exercises....

Standard Algebra

William James Milne - 1908 - 480 σελίδες
...ab + &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...

Secondary-school Mathematics, Βιβλίο 1

Robert Louis Short, William Harris Elson - 1910 - 202 σελίδες
...(a + 6)2 ={f + 3 ab + 62. Or, stated in words : (o is the first number and 6 is the second number. ) Th,e square of the sum of two numbers is equal to...the first number plus twice the product of the first and second, plus the square of the second. Similarly, (a - 6)2 = 62 - 2 ab + 62. Or, Tlie square of...

Elements of Algebra

Arthur Schultze - 1918 - 336 σελίδες
...the preceding type of examples deserve special mention : П. III. Expressed in general language : I. The square of the sum of two numbers is equal to the square of the first, plus twice the product of the first and the second, plus the square of the second. II. The square of...

Elements of Plane Geometry

William Herschel Bruce, Claude Carr Cody (Jr.) - 1910 - 286 σελίδες
...a" is the square whose side is the line a. ab (a-bf nt> b(b> AREAS OF POLYGONS. ALGEBRAIC THEOREMS. The square of the sum of two numbers is equal to the sum of their squares plus twice their product. The product of the sum and the difference of two numbers...




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