Question

factorise 49p2-36 please answer

Answer 1

49p^2-36 is in the form a^2-b^2

SO ANSWER IS (7p+6)(7p-6)

Answer 2

Factors of $\bf 49 {p}^{2} - 36$ are $\bf (7p + 6)(7p - 6)$

Given:

• $49 {p}^{2} - 36$

To find:

• Factors of polynomial.

Solution:

Identity to be used:

$\bf {x}^{2} - {y}^{2} = (x + y)(x - y)$

Step 1:

Write the given polynomial as per identity.

$49 {p}^{2} - 36 = {7}^{2} {p}^{2} - {6}^{2}$

or

$49 {p}^{2} - 36 = {(7p)}^{2} - {(6)}^{2}$

Step 2:

On comparison with identity, it is clear that

x= 7p

and

y= 6

So,

$\bf 49 {p}^{2} - 36 = (7p + 6)(7p - 6)$

Thus,

Factors are (7p+6)(7p-6).

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