en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (3q^2-4q)^2

Solution

expand

(3 q^{2} - 4 q)^{2}

Solution

9 q^{4} - 24 q^{3} + 16 q^{2}

Solution steps

(3 q^{2} - 4 q)^{2}

Apply Perfect Square Formula:

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

(3 q^{2} - 4 q)^{2} = (3 q^{2})^{2} - 2 \cdot 3 q^{2} \cdot 4 q + (4 q)^{2}

= (3 q^{2})^{2} - 2 \cdot 3 q^{2} \cdot 4 q + (4 q)^{2}

Simplify

(3 q^{2})^{2} - 2 \cdot 3 q^{2} \cdot 4 q + (4 q)^{2} : 9 q^{4} - 24 q^{3} + 16 q^{2}

= 9 q^{4} - 24 q^{3} + 16 q^{2}

Popular Examples

factor-(5x^2)+4x factor

- (5 x^{2}) + 4 x

simplify ((x^5+4x^3-5))/((x-1))simplify

\frac{( x ^{5} + 4 x ^{3} - 5 )}{( x - 1 )}

simplify log_{10}(a^2*b^3*c^5)simplify

lo g_{10} (a^{2} \cdot b^{3} \cdot c^{5})

expand (m-n)^6-8m^3 expand

(m - n)^{6} - 8 m^{3}

simplify 1/(cos^2(x))-1/(sin^2(x))simplify

\frac{1}{cos ^{2} ( x )} - \frac{1}{sin ^{2} ( x )}

Frequently Asked Questions (FAQ)

What is expand (3q^2-4q)^2 ?
The solution to expand (3q^2-4q)^2 is 9q^4-24q^3+16q^2