...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....

...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...

...+ 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....

...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...

...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...

...= b, then (a + 6) 2 = a 2 + 6 2 + 2 ab. Prove it by finding the square of a + b by multiplication, The square of the sum of two numbers is equal to the sum of the squares of the numbers plus twice their product. 15=10 + 5. Then 15 2 = 10 2 + o 2 + 2 x...

...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....

...(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 square of the first number plus twice the product of the first and second, plus the square of the second....

...thus instead of 00+06+06+66 write o*+2o6+6*. This expression also illustrates aft important principle that the square of the sum of two numbers is equal to the sum of the squares of the two numbers phis twice their product. To illustrate an application of this...

...SQUARES OF NUMBERS The square of a quantity is obtained by employing the quantity twice as a factor. The square of the sum of two numbers is equal to the square of the first + twice the product of the first by the second + the square of the second. The...