Solve 4a(3a - 5b) - 3b(3a - 5b) | 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

$$4a(3a-5b)-3b(3a-5b)$$

Evaluate

$\left(3a-5b\right)\left(4a-3b\right)$

Solution Steps

Use the distributive property to multiply $4a$ by $3a-5b$.

$$12a^{2}-20ab-3b\left(3a-5b\right)$$

Use the distributive property to multiply $-3b$ by $3a-5b$.

$$12a^{2}-20ab-9ba+15b^{2}$$

Combine $-20ab$ and $-9ba$ to get $-29ab$.

$$12a^{2}-29ab+15b^{2}$$

Expand

$12a^{2}-29ab+15b^{2}$

Solution Steps

Use the distributive property to multiply $4a$ by $3a-5b$.

$$12a^{2}-20ab-3b\left(3a-5b\right)$$

Use the distributive property to multiply $-3b$ by $3a-5b$.

$$12a^{2}-20ab-9ba+15b^{2}$$

Combine $-20ab$ and $-9ba$ to get $-29ab$.

$$12a^{2}-29ab+15b^{2}$$