Question

16(x+y)² - 25(x-3y)²​

Answer 1

Answer:

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Step-by-step explanation:

STEP

1

:

Equation at the end of step 1

(16 • ((x - y)2)) - 25 • (x + 3y)2

STEP

2

:

Equation at the end of step 2

16 • (x - y)2 - 25 • (x + 3y)2

STEP

3

:

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

3.2 Evaluate : (x+3y)2 = x2+6xy+9y2

STEP

4

:

Pulling out like terms

4.1 Pull out like factors :

-9x2 - 182xy - 209y2 = -1 • (9x2 + 182xy + 209y2)

Trying to factor a multi variable polynomial :

4.2 Factoring 9x2 + 182xy + 209y2

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

Found a factorization : (9x + 11y)•(x + 19y)

Final result :

(-9x - 11y) • (x + 19y)

Answer 2

Answer:

this is the solution

hope it helps