The factor of the expression or polynomial is (7x + 3)(7x - 3) after using the identity a² - b² = (a + b)(a - b) option (A) (7x + 3)(7x - 3) is correct.
Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.
[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]
We have:
An expression or polynomial:
As we know, the combination of constants and variables with mathematical operators.
= 49x² − 9
We can write 49x² as (7x)² and 9 as 3²
= (7x²) - 3²
As we know,
a² - b² = (a + b)(a - b)
After applying the above identity:
= (7x²) - 3²
= (7x + 3)(7x - 3)
Thus, the factor of the expression or polynomial is (7x + 3)(7x - 3) after using the identity a² - b² = (a + b)(a - b) option (A) (7x + 3)(7x - 3) is correct.
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