Question

Simplify: 7x3 +8y3 - (4x+3y). (16x2 - 12xy + 9y2)

Answer 1

here is the answer. check it out

Answer 2

Answer:

Step-by-step explanation:

7x3+8x2-(4x+3y)(16x2-12xy+9y2)

Final result :

-57x3 + 8x2 - 27y3

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "y2" was replaced by "y^2". 3 more similar replacement(s).

Step by step solution :

Step 1 :

Equation at the end of step 1 :

((7•(x3))+(8•(x2)))-((4x+3y)•(((16•(x2))-12xy)+32y2))

Step 2 :

Equation at the end of step 2 :

((7•(x3))+(8•(x2)))-((4x+3y)•((24x2-12xy)+32y2))

Step 3 :

Trying to factor a multi variable polynomial :

3.1 Factoring 16x2 - 12xy + 9y2

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

Factorization fails

Equation at the end of step 3 :

((7•(x3))+(8•(x2)))-(4x+3y)•(16x2-12xy+9y2)

Step 4 :

Equation at the end of step 4 :

((7•(x3))+23x2)-(4x+3y)•(16x2-12xy+9y2)

Step 5 :

Equation at the end of step 5 :

(7x3 + 23x2) - (4x + 3y) • (16x2 - 12xy + 9y2)

Step 6 :

Step 7 :

Pulling out like terms :

7.1 Pull out like factors :

-57x3 + 8x2 - 27y3 = -1 • (57x3 - 8x2 + 27y3)

Trying to factor a multi variable

polynomial :

7.2 Factoring 57x3 - 8x2 + 27y3

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

Factorization fails

Final result :

-57x3 + 8x2 - 27y3

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