Question

factorize the following 36(x + y)2 - 49(x - 2y)​

Answer 1

Answer:

(20y - x) • (13x - 8y)

Step-by-step explanation:

Step by Step Solution:

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STEP

1

:

Equation at the end of step 1

(36 • ((x + y)2)) - 49 • (x - 2y)2

STEP

2

:

Equation at the end of step 2

36 • (x + y)2 - 49 • (x - 2y)2

STEP

3

:

3.1 Evaluate : (x+y)2 = x2+2xy+y2

3.2 Evaluate : (x-2y)2 = x2-4xy+4y2

STEP

4

:

Pulling out like terms

4.1 Pull out like factors :

-13x2 + 268xy - 160y2 = -1 • (13x2 - 268xy + 160y2)

Trying to factor a multi variable polynomial :

4.2 Factoring 13x2 - 268xy + 160y2

Try to factor this multi-variable trinomial using trial and error

Found a factorization : (x - 20y)•(13x - 8y)

Answer 2

Answer:

(20y - x) • (13x - 8y)

Step-by-step explanation:

STEP 1 :

Equation at the end of step 1

(36 • ((x + y)2)) - 49 • (x - 2y)2

STEP 2:

Equation at the end of step 2

36 • (x + y)2 - 49 • (x - 2y)2

STEP 3:

3.1 Evaluate : (x+y)2 = x2+2xy+y2

3.2 Evaluate : (x-2y)2 = x2-4xy+4y2

STEP 4:

Pulling out like terms

4.1 Pull out like factors :

-13x2 + 268xy - 160y2 = -1 • (13x2 - 268xy + 160y2)

Trying to factor a multi variable polynomial :

4.2 Factoring 13x2 - 268xy + 160y2

Try to factor this multi-variable trinomial using trial and error

Final result :

(20y - x) • (13x - 8y)