What is expand (3a^2-5ab+2b^2)(4a-5b) ?

The solution to expand (3a^2-5ab+2b^2)(4a-5b) is 12a^3-35a^2b+33ab^2-10b^3

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expand (3a^2-5ab+2b^2)(4a-5b)

expand

(3 a^{2} - 5 ab + 2 b^{2}) (4 a - 5 b)

12 a^{3} - 35 a^{2} b + 33 a b^{2} - 10 b^{3}

Solution steps

(3 a^{2} - 5 ab + 2 b^{2}) (4 a - 5 b)

Distribute parentheses

= 3 a^{2} \cdot 4 a + 3 a^{2} (- 5 b) - 5 ab \cdot 4 a - 5 ab (- 5 b) + 2 b^{2} \cdot 4 a + 2 b^{2} (- 5 b)

Simplify

3 a^{2} \cdot 4 a + 3 a^{2} (- 5 b) - 5 ab \cdot 4 a - 5 ab (- 5 b) + 2 b^{2} \cdot 4 a + 2 b^{2} (- 5 b) : 12 a^{3} - 35 a^{2} b + 33 a b^{2} - 10 b^{3}

= 12 a^{3} - 35 a^{2} b + 33 a b^{2} - 10 b^{3}

(- 2) 5

\frac{12 x ^{2} y ^{3}}{15 x y ^{5}}

\frac{\frac{7 x ^{4}}{24 y ^{5}}}{\frac{21 x}{12 y ^{4}}}

54 \cdot 4

5.4 + 1 \frac{1}{27}

What is expand (3a^2-5ab+2b^2)(4a-5b) ?
The solution to expand (3a^2-5ab+2b^2)(4a-5b) is 12a^3-35a^2b+33ab^2-10b^3