Solve 4(x)^(2)+3(y)^(2)+4xy+5(x)^(2)+8(y)^(2)+12xy | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$4 { x }^{ 2 } +3 { y }^{ 2 } +4xy+5 { x }^{ 2 } +8 { y }^{ 2 } +12xy$$

Evaluate

$9x^{2}+16xy+11y^{2}$

Solution Steps

Combine $4x^{2}$ and $5x^{2}$ to get $9x^{2}$.

$$9x^{2}+3y^{2}+4xy+8y^{2}+12xy$$

Combine $3y^{2}$ and $8y^{2}$ to get $11y^{2}$.

$$9x^{2}+11y^{2}+4xy+12xy$$

Combine $4xy$ and $12xy$ to get $16xy$.

$$9x^{2}+11y^{2}+16xy$$

Differentiate w.r.t. x

$18x+16y$