What is (4a^2b^2)*(10a^3b^3+15a^2b^3) ?

The solution to (4a^2b^2)*(10a^3b^3+15a^2b^3) is 4a^2b^2(10a^3b^3+15a^2b^3)

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simplify (4a^2b^2)*(10a^3b^3+15a^2b^3)

simplify

(4 a^{2} b^{2}) \cdot (10 a^{3} b^{3} + 15 a^{2} b^{3})

4 a^{2} b^{2} (10 a^{3} b^{3} + 15 a^{2} b^{3})

Solution steps

(4 a^{2} b^{2}) (10 a^{3} b^{3} + 15 a^{2} b^{3})

Apply exponent rule:

a^{m} b^{m} = (ab)^{m},

assuming

a \geq 0, b \geq 0

a^{2} b^{2} = (ab)^{2}

= 4 (ab)^{2} (10 a^{3} b^{3} + 15 a^{2} b^{3})

(ab)^{2} = a^{2} b^{2}

= 4 a^{2} b^{2} (10 a^{3} b^{3} + 15 a^{2} b^{3})

2.68 \cdot 1.68 \cdot 1 0^{- 3}

4 z^{2} y^{2} a^{3}

e^{1} e^{- 4 s}

e^{(- 25)}

t e^{(- 2 t)}

What is (4a^2b^2)*(10a^3b^3+15a^2b^3) ?
The solution to (4a^2b^2)*(10a^3b^3+15a^2b^3) is 4a^2b^2(10a^3b^3+15a^2b^3)