factoring help?

Question

2a⁴b + 8a²b² - 2a²b⁴

Answer 1

take the lowest of every term out variables and numerals:

2 in terms of numeral, a^2 in terms of the variable a, and

b in terms of the varaible b

2a^2b( a^2 + 4b - b^3)

Answer 2

Well, to get the common factor, you must find the lowest exponent of each variable, and coefficient.

In this case, 2 is a common coefficient, a² is the least exponent for a, and b is the least exponent of b.

Therefore, 2a²b is the common factor.

To factor out, you rewrite the expression as the product of the common factor and the expression divided by this factor.

Thus,

= 2a²b(a² + 4b - b³)

^_^

Answer 3

2a^2b(a^2+4b+b^3)

^ means raise the number before the ^ symbol to the power after the ^ symbol

a^2 = a squared

Answer 4

2(a^4)b + 8a²b² - 2a²(b^4)
= (2)(a)(a)(a)(a)(b) + (2)(2)(2)(a)(a)(b)(b) + (2)(a)(a)(b)(b)(b)(b)
= 2a²b(a² + 4b + b³)

Answer 5

2a^4b = 2 * a *a * a* a *b
8a^2b^2 = 2 *2*2*a*a*b*b
2a^2b^4 = 2*a*a*b*b*b*b

so underline those values which are common in all
it is 2*a*a*b ( a*a + 2*2*b - b*b*b)