Math, asked by vijayashelke38, 8 months ago

factorise 25÷16a^2-ab+4÷25b^2​

Answers

Answered by zeenaahamed
0

Answer:

Answer stwp by step below

Step-by-step explanation:

STEP

1

:

Equation at the end of step 1

(16 • (a2)) - 52b2

STEP

2

:

Equation at the end of step

2

:

24a2 - 52b2

STEP

3

:

Trying to factor as a Difference of Squares

3.1 Factoring: 16a2-25b2

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 : 16 is the square of 4

Check : 25 is the square of 5

Check : a2 is the square of a1

Check : b2 is the square of b1

Factorization is : (4a + 5b) • (4a - 5b)

Final result :

(4a + 5b) • (4a - 5b)

HOPE IT HELPS❤❤❤

Similar questions