Question

Help please

Rewrite 16x4y3 − 32x3y4 using a common factor.

2x4y4(8 − 16x)

2x3y3(8y − 16x)

8x4y3(2 − 4y)

8x3y3(2x − 4y)

Answer 1

To rewrite the expression using a common factor, factor out the highest powers of x and y that are present in both terms, leading to the expression 16x^3y^3(x - 2y).

Step-by-step explanation:

The student is asking to rewrite the expression 16x^4y^3 − 32x^3y^4 using a common factor. To find the common factor, we need to look at both terms and find the highest powers of x and y that are present in both. The highest common powers of x and y are x^3 and y^3, respectively. So, we factor those out:

16x^4y^3 − 32x^3y^4

=x^3y^3(16x - 32y)

=16x^3y^3(x - 2y)

Thus, the expression rewritten using a common factor is 16x^3y^3(x - 2y).