Answer:
Option A is correct
Difference of squares identity should be used to prove 49-4 =45
Step-by-step explanation:
Prove that : 49 - 4 = 45
Polynomial identities are just equations that are true, but identities are particularly useful for showing the relationship between two apparently unrelated expressions.
Difference of the squares identity:
\(a^2-b^2 = (a-b)(a+b)\)
Take LHS
49 - 4
We can write 49 as \(7 \times 7 =7^2\) and 4 as \(2 \times 2 =2^2\).
then;
\(49 - 4 = 7^2 -2^2\)
Now, use the difference of square identity;
here a =7 and b = 2
\(7^2-2^2 = (7-2) \cdot (7+2)\)
or
\(7^2-2^2 = 5 \cdot 9 = 45\) = RHS proved!
therefore, the difference of square polynomial identity should be used to prove that 49-4 =45
