add the following algebraic expressions. a, xy³+x³y ;3xy³-x³y
Answers
Answer:f(x)=4x2+4y2+x3y+xy3−xy−4
⇒fx=8x+3x2y+y3−y and fy=8y+x3+3xy2−x.
⇒fxx=8+6xy=fyy and fxy=3x2+3y2−1.
At the critical point, the first partial derivatives are zero.
⇒8x+3x2y+y3−y=0=8y+x3+3xy2−x.
⇒x3−y3−3x2y+3xy2−9x+9y=0
⇒(x−y)(x−y−3)(x−y+3)=0.
⇒y=x or y=x−3 or y=x+3.
Case 1:y=x.
Step-by-step explanation:
Answer:
(xy³+x³y) +(3xy³-x³y) = =4 xy³
Step-by-step explanation:
The addition of two binomials is done only when it contains like terms. This means that it should have the same variable and the same exponent.
Subtraction of two binomials is similar to the addition operation as if and only if it contains like terms.
(xy³+x³y) +(3xy³-x³y)
=xy³+x³y + 3xy³-x³y
rearrange similar terms
=xy³+ 3xy³ +x³y -x³y
=xy³+ 3xy³
=(1 + 3)xy³
=4 xy³
(xy³+x³y) +(3xy³-x³y) = =4 xy³