Question

resolve the factors 8x square y cube- x raise to power 5​

Answer 1

Answer:

the factors are 8,xand y

Answer 2

Answer:

hi here is ur answer

Step-by-step explanation:

One common factor. a x + a y = a (x + y)

2: Sevearl grouped common factor. a x + a y + b x + b y = a(x + y) + b(x + y) = (a + b ) (x + y)

3: Difference of two squares (1). x 2 - y 2 = (x + y)(x - y)

4: Difference of two squares (2). (x + y) 2 - z 2 = (x + y + z)(x + y - z)

5: Sum of two cubes. x 3 + y 3 = (x + y)(x 2 - x y + y 2)

6: Difference of two cubes. x 3 - y 3 = (x - y)(x 2 + x y + y 2)

7: Difference of fourth powers. x 4 - y 4 = (x 2 - y 2)(x 2 + y 2) = (x + y)(x - y)(x 2 + y 2)

8: Perfet square x 2 + 2xy + y 2 = (x + y) 2

9: Perfet square x 2 - 2xy + y 2 = (x - y) 2

10: Perfect cube x 3 + 3x 2y + 3xy 2 + y 3 = (x + y) 3

11: Perfect cube x 3 - 3x 2y + 3xy 2 - y 3 = (x - y) 3

Examples in Factoring Polynomials with Solutions

Example 1

Factor the binomial 9 - 4x 2

Solution

Rewrite the given expression as the difference of two squares then apply formula 1 given above.

9 - 4x 2 = 3 2 - (2x) 2 = (3 - 2x)(3 + 2x)

As a practice, multiply (3 - 2x)(3 + 2x) to obtain the given expression.

may be it helps you