Question

of 10p - r and 5p + 2q.
8. From the sum of 4 + 3x and 5
- x2 + 2x + 5.
9. What should be added to x2 - y2 + 2xy to obtain x2 + y2 + 5xu?
10. What should be suhtracted​

Answer 1

Answer:

STEP

1

:

Equation at the end of step 1

(y2)

((((x2)-2xy)-————)-4xy)+3y2

(x2)

STEP

2

:

y2

Simplify ——

x2

Equation at the end of step

2

:

y2

((((x2) - 2xy) - ——) - 4xy) + 3y2

x2

STEP

3

:

Rewriting the whole as an Equivalent Fraction

3.1 Subtracting a fraction from a whole

Rewrite the whole as a fraction using x2 as the denominator :

x2 - 2xy (x2 - 2xy) • x2

x2 - 2xy = ———————— = ———————————————

1 x2

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

STEP

4

:

Pulling out like terms

4.1 Pull out like factors :

x2 - 2xy = x • (x - 2y)

Adding fractions that have a common denominator :

4.2 Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

x • (x-2y) • x2 - (y2) x4 - 2x3y - y2

—————————————————————— = ——————————————

x2 x2

Equation at the end of step

4

:

(x4 - 2x3y - y2)

(———————————————— - 4xy) + 3y2

x2

STEP

5

:

Rewriting the whole as an Equivalent Fraction

5.1 Subtracting a whole from a fraction

Rewrite the whole as a fraction using x2 as the denominator :

4xy 4xy • x2

4xy = ——— = ————————

1 x2

Trying to factor a multi variable polynomial :

5.2 Factoring x4 - 2x3y - y2