University Algebra: Embracing a Logical Development of the Science with Numerous Graded ExamplesA.S. Barnes, 1889 - 320 páginas |
Dentro del libro
Resultados 1-5 de 27
Página 40
... square of the second . first rule , EXAMPLES . 1. Let it be required to find the square of 2a + 3.x. The square of 2a , is 4a2 ; twice the product of 2a and 3x , is 12ax ; the square of 3x , is 9x2 . Hence , by the ( 2a + 3x ) 2 = 4a2 + ...
... square of the second . first rule , EXAMPLES . 1. Let it be required to find the square of 2a + 3.x. The square of 2a , is 4a2 ; twice the product of 2a and 3x , is 12ax ; the square of 3x , is 9x2 . Hence , by the ( 2a + 3x ) 2 = 4a2 + ...
Página 119
... square of 5a ; ( 3a + b ) 3 , signifying the third power of 3a + b ; 2x ) " , signifying the nth power of 7a - 2x ... find the third power , or be , of 7a2x . From the definition of a power , and the rule for Mul tiplication , we have ...
... square of 5a ; ( 3a + b ) 3 , signifying the third power of 3a + b ; 2x ) " , signifying the nth power of 7a - 2x ... find the third power , or be , of 7a2x . From the definition of a power , and the rule for Mul tiplication , we have ...
Página 120
... square is positive , its cube negative , its fourth power positive , and so on . In general , any even power of a ... find the third power of Za2x 3by From the definition of a power , and the rule 120 ELEMENTS OF ALGEBRA . Powers of ...
... square is positive , its cube negative , its fourth power positive , and so on . In general , any even power of a ... find the third power of Za2x 3by From the definition of a power , and the rule 120 ELEMENTS OF ALGEBRA . Powers of ...
Página 122
... find the square of 3a - 2x- ' , and that power of 2ax2 , whose exponent is 3 . ― It has been shown that any factor may be changed from the denominator to the numerator , or from the numerator to the denominator , by changing the sign of ...
... find the square of 3a - 2x- ' , and that power of 2ax2 , whose exponent is 3 . ― It has been shown that any factor may be changed from the denominator to the numerator , or from the numerator to the denominator , by changing the sign of ...
Página 130
... Find the cube of 3a + 2b . OPERATION . 1 +3 + 3 +1 Coefficients . 1 27a3 + 9a2 + 3a +1 +26 Powers of 3a . + 462 +863 Powers of 26 . ( 3a +26 ) 3 = 27a3 + 54a2b + 36ab2 + 8b3 13. Find the square of 7x -- 3y . OPERATION . 1 + 2 +1 49x2 + ...
... Find the cube of 3a + 2b . OPERATION . 1 +3 + 3 +1 Coefficients . 1 27a3 + 9a2 + 3a +1 +26 Powers of 3a . + 462 +863 Powers of 26 . ( 3a +26 ) 3 = 27a3 + 54a2b + 36ab2 + 8b3 13. Find the square of 7x -- 3y . OPERATION . 1 + 2 +1 49x2 + ...
Otras ediciones - Ver todas
Términos y frases comunes
algebraic Arithmetic ax² Binomial Formula Clearing of fractions coefficients common difference containing contrary signs cube root Davies denominator denote the number distance dividend divisible equal roots equation whose roots EXAMPLES exponent expressions Extract the square factors Find the cube Find the fourth Find the greatest Find the square following RULE geometrical progression given equation greatest common divisor Hence imaginary indicated irreducible fraction last term least common multiple Let x denote logarithm miles monomial Multiplying both members negative nth root number of terms operation partial fractions polynomial positive preceding problem proportion quotient radical sign real roots Reduce remainder resulting equation roots equal second degree second member second term solved square root STURM'S THEOREM Substituting subtract third Transform the equation Transposing travels unknown quantity Whence whole number write X₁
Pasajes populares
Página 258 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Página 255 - THE LOGARITHM: of a number is the exponent of the power to which it is necessary to raise a fixed number, to produce the given number. The fixed number is called the base of the system.
Página 136 - Which proves that the square of a number composed of tens and units contains, the square of the tens plus twice the product of the tens by the units, plus the square of the units.
Página 36 - Divide the first term of the dividend by the first term of the divisor, and write the result as the first term of the quotient. Multiply the whole divisor by the first term of the quotient, and subtract the product from the dividend.
Página 81 - The part of the equation which is on the left of the sign of equality is called the first member ; the part on the right of the sign of equality, the second member.
Página 231 - If four quantities are in proportion, they will be in proportion by COMPOSITION...
Página 72 - Now .} of f- is a compound fraction, whose value is found by multiplying the numerators together for a new numerator, and the denominators for a new denominator.