Question

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1
The factors of 49 p2 - 36 are ...​

Answer 1

Step-by-step explanation:

Factoring: 49p2-36

Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)

Proof : (A+B) • (A-B) =

A2 - AB + BA - B2 =

A2 - AB + AB - B2 =

A2 - B2

Note : AB = BA is the commutative property of multiplication.

Note : - AB + AB equals zero and is therefore eliminated from the expression.

Check : 49 is the square of 7

Check : 36 is the square of 6

Check : p2 is the square of p1

Factorization is : (7p + 6) • (7p - 6)

Final result :

(7p + 6) • (7p - 6)