Question

factorise 32y√2-50 with method








factorise 32y-50



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Answer 1

Answer:

Step by Step Solution

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STEP

1

:

Equation at the end of step 1

25y2 - 50

STEP

2

:

STEP

3

:

Pulling out like terms

3.1 Pull out like factors :

32y2 - 50 = 2 • (16y2 - 25)

Trying to factor as a Difference of Squares:

3.2 Factoring: 16y2 - 25

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 : y2 is the square of y1

Factorization is : (4y + 5) • (4y - 5)

Final result :

2 • (4y + 5) • (4y - 5)