Solve 9(y)^(2)+42y+49-4(10(y)^(2)+5y-10y-5) | 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

$$9 { y }^{ 2 } +42y+49-4(10 { y }^{ 2 } +5y-10y-5)$$

Evaluate

$69+62y-31y^{2}$

Solution Steps

Combine $5y$ and $-10y$ to get $-5y$.

$$9y^{2}+42y+49-4\left(10y^{2}-5y-5\right)$$

Use the distributive property to multiply $-4$ by $10y^{2}-5y-5$.

$$9y^{2}+42y+49-40y^{2}+20y+20$$

Combine $9y^{2}$ and $-40y^{2}$ to get $-31y^{2}$.

$$-31y^{2}+42y+49+20y+20$$

Combine $42y$ and $20y$ to get $62y$.

$$-31y^{2}+62y+49+20$$

Add $49$ and $20$ to get $69$.

$$-31y^{2}+62y+69$$

Expand

$69+62y-31y^{2}$

Solution Steps

Combine $5y$ and $-10y$ to get $-5y$.

$$9y^{2}+42y+49-4\left(10y^{2}-5y-5\right)$$

Use the distributive property to multiply $-4$ by $10y^{2}-5y-5$.

$$9y^{2}+42y+49-40y^{2}+20y+20$$

Combine $9y^{2}$ and $-40y^{2}$ to get $-31y^{2}$.

$$-31y^{2}+42y+49+20y+20$$

Combine $42y$ and $20y$ to get $62y$.

$$-31y^{2}+62y+49+20$$

Add $49$ and $20$ to get $69$.

$$-31y^{2}+62y+69$$