en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (4x^2-5)^2

Solution

expand

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

Solution

16 x^{4} - 40 x^{2} + 25

Solution steps

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

Apply Perfect Square Formula:

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

(4 x^{2} - 5)^{2} = (4 x^{2})^{2} - 2 \cdot 4 x^{2} \cdot 5 + 5^{2}

= (4 x^{2})^{2} - 2 \cdot 4 x^{2} \cdot 5 + 5^{2}

Simplify

(4 x^{2})^{2} - 2 \cdot 4 x^{2} \cdot 5 + 5^{2} : 16 x^{4} - 40 x^{2} + 25

= 16 x^{4} - 40 x^{2} + 25

Popular Examples

factor 36x^2+72x+36 factor

36 x^{2} + 72 x + 36

simplify a+b-(-2a+3)simplify

a + b - (- 2 a + 3)

simplify (1-x)(x-1)simplify

(1 - x) (x - 1)

simplify e^{ln(u)}simplify

e^{l n (u)}

simplify (x(x-4)^2)/(x^2-5x+4)*(6x^2-60x+54)/(6x^3-78x^2+216x)simplify

\frac{x ( x - 4 ) ^{2}}{x ^{2} - 5 x + 4} \cdot \frac{6 x ^{2} - 60 x + 54}{6 x ^{3} - 78 x ^{2} + 216 x}

Frequently Asked Questions (FAQ)

What is expand (4x^2-5)^2 ?
The solution to expand (4x^2-5)^2 is 16x^4-40x^2+25