en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor 10a^2+15a^3

Solution

factor

10 a^{2} + 15 a^{3}

Solution

5 a^{2} (2 + 3 a)

Solution steps

10 a^{2} + 15 a^{3}

Apply exponent rule:

a^{b + c} = a^{b} a^{c}

a^{3} = a a^{2}

= 10 a^{2} + 15 a a^{2}

Rewrite

10

as

5 \cdot 2

Rewrite

15

as

5 \cdot 3

= 5 \cdot 2 a^{2} + 5 \cdot 3 a a^{2}

Factor out common term

5 a^{2}

= 5 a^{2} (2 + 3 a)

Popular Examples

expand (4x-1)^4 expand

(4 x - 1)^{4}

factor 27x^6-8 factor

27 x^{6} - 8

simplify (2+i)(3+2i)simplify

(2 + i) (3 + 2 i)

simplify 6(4y+7z)simplify

6 (4 y + 7 z)

simplify (8b+9)-(7b-5)simplify

(8 b + 9) - (7 b - 5)

Frequently Asked Questions (FAQ)

What is factor 10a^2+15a^3 ?
The solution to factor 10a^2+15a^3 is 5a^2(2+3a)