What is the factor of 25x 2 16?

What is the factor of 25x 2 16?

2 Answers By Expert Tutors So now 25×2 – 16 = (5x)2 – 44 (Notice it is now the difference (subtraction) of two perfect squares.

What is the prime factor of 25x?

Its Prime Factors are 1, 5, 25, and (1, 25) and (5, 5) are Pair Factors.

What is the factor of 25x 2 81?

Rewrite 25×2 25 x 2 as (5x)2 ( 5 x ) 2 . Rewrite 81 as 92 . Since both terms are perfect squares, factor using the difference of squares formula, a2−b2=(a+b)(a−b) a 2 – b 2 = ( a + b ) ( a – b ) where a=5x a = 5 x and b=9 .

What is the factor of 4x 2 25?

Explanation: Realize that 4×2−25 is a difference of squares. Differences of squares, such as a2−b2 , can be factored into (a+b)(a−b) . Since 4×2=(2x)2 and 25=(5)2 , we can say that 4×2−25=(2x+5)(2x−5) .

How does x3 8 factor?

Rewrite 8 as 23 . Since both terms are perfect cubes, factor using the difference of cubes formula, a3−b3=(a−b)(a2+ab+b2) a 3 – b 3 = ( a – b ) ( a 2 + a b + b 2 ) where a=x and b=2 .

Which is the correct formula for factor 25×2?

Rewrite 25×2 25 x 2 as (5x)2 ( 5 x) 2. Rewrite 4 4 as 22 2 2. Since both terms are perfect squares, factor using the difference of squares formula, a2 −b2 = (a+b)(a−b) a 2 – b 2 = ( a + b) ( a – b) where a = 5x a = 5 x and b = 2 b = 2.

How are exponents multiplied when raised to another exponent?

When exponents are raised to another exponent, the exponents are multiplied. (a m) n = a (m × n) EX: (2 2) 4 = 4 4 = 256 (2 2) 4 = 2 (2 × 4) = 2 8 = 256

When do you remove the negative sign from an exponent?

EX: 2 2 × 2 4 = 4 × 16 = 64 2 2 × 2 4 = 2 (2 + 4) = 2 6 = 64 When an exponent is negative, the negative sign is removed by reciprocating the base and raising it to the positive exponent.

When is an exponent equal to a positive integer?

They follow much the same rules as exponents with positive bases. Exponents with negative bases raised to positive integers are equal to their positive counterparts in magnitude, but vary based on sign. If the exponent is an even, positive integer, the values will be equal regardless of a positive or negative base.