Question

use suitable identities to- Factorise the given expression 108x^2-75y^2​

Answer 1

Answer:

STEP 1

Equation at the end of step 1

(108(x2)) (3-52y2)

STEP 2

Equation at the end of step

2

(22-33x2) (3.52y2)

STEP 3

STEP 4

Pulling out like terms

4.1

Pull out like factors:

108x2-75y2 3.(36x2-25y2)

Trying to factor as a Difference of

Squares:

4.2 Factoring:

36x2-25y2

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:

ABBA is the commutative property of multiplication.

Note:

AB AB equals zero and is refore eliminated from the expression.

Check:

36 is the square of 6 Check: 25 is the square of 5 Check:

x² is the square of x¹

Check:

y² is the square of y¹

Factorization is :

(6x+5y)•(6x-5y)

Final result:

3 (6x + 5y) (6x - 5y)

Step-by-step explanation:

Hope this helps you mate. Please mark @thomas1234 as brainlist.

Answer 2

Answer:

I know but I will not tell