find the product of (2x⁴ + 5y²) (2x⁴

☞ 4x⁸ - 25y⁴ ☜ (2x⁴ + 5y²)(2x⁴ - 5y²)Expand the expression using (a - b)(a + b) = a² - b²(2x⁴)² - (5y²)²(2x⁴)² - (5y²)²Simplify using exponent rule with same exponent (ab)n = an.bn2² × (x⁴)² - (5y²)²Simplify using exponent rule with same exponent (ab)n = an.bn2² × (x⁴)² - 5² - 5² × (y²)²2² × (x⁴)² - 5² - 5² × (y²)²Calculate the power4 × (x⁴)² - 5² × (y²)²Calculate the power4 × (x⁴)² - 25 × (y²)²4 × (x⁴)² - 25 × (y²)²Simplify using exponent power rule (an)m = anm 4x⁸ - 25(y²)²Simplify using exponent power rule (an)m = anmFinal Answer: 4x⁸ -25y⁴

Questions

seankylegonzales @seankylegonzales

October 2022 1 16 Report

find the product of (2x⁴ + 5y²) (2x⁴ - 5y²).

Answers & Comments

YourLadynoirIsHere

$\huge\mathtt\color{red}{A}\color{orange}{N}\color{yellow}{S}\color{lime}{W}\color{green}{E}\color{cyan}{R}\color{aquamarine}{:}$

$\red{⊱┈───────────────────────┈⊰}$

☞ 4x⁸ - 25y⁴ ☜

$\huge\mathtt\color{red}{S}\color{orange}{O}\color{yellow}{L}\color{lime}{U}\color{green}{T}\color{cyan}{I}\color{aquamarine}{O}\color{cyan}{N}\color{hotpink}{:}$

$\huge\mathtt\color{red}{S}\color{orange}{T}\color{yellow}{E}\color{lime}{P}\color{green}{1}\color{cyan}{:}$

(2x⁴ + 5y²)(2x⁴ - 5y²)

Expand the expression using (a - b)(a + b) = a² - b²

(2x⁴)² - (5y²)²

$\red{⊱┈───────────────────────┈⊰}$

$\huge\mathtt\color{red}{S}\color{orange}{T}\color{yellow}{E}\color{lime}{P}\color{green}{2}\color{cyan}{:}$

(2x⁴)² - (5y²)²

Simplify using exponent rule with same exponent (ab)n = an.bn

2² × (x⁴)² - (5y²)²

Simplify using exponent rule with same exponent (ab)n = an.bn

2² × (x⁴)² - 5² - 5² × (y²)²

$\red{⊱┈───────────────────────┈⊰}$

$\huge\mathtt\color{red}{S}\color{orange}{T}\color{yellow}{E}\color{lime}{P}\color{green}{3}\color{cyan}{:}$

2² × (x⁴)² - 5² - 5² × (y²)²

Calculate the power

4 × (x⁴)² - 5² × (y²)²

Calculate the power

4 × (x⁴)² - 25 × (y²)²

$\red{⊱┈───────────────────────┈⊰}$

$\huge\mathtt\color{red}{S}\color{orange}{T}\color{yellow}{E}\color{lime}{P}\color{green}{4}\color{cyan}{:}$

4 × (x⁴)² - 25 × (y²)²

Simplify using exponent power rule (an)m = anm

4x⁸ - 25(y²)²

Simplify using exponent power rule (an)m = anm

Final Answer: 4x⁸ -25y⁴

$\red{⊱┈───────────────────────┈⊰}$

$\begin{gathered}\begin{gathered}\begin{gathered}\begin{gathered}\begin{gathered}\begin{gathered} \begin{gathered}\boxed{\begin{array} {}\blue{\text{Education is the}} \\\red{\text{key to success}}\\\end{array}}\end{gathered} \end{gathered}\end{gathered}\end{gathered}\end{gathered}\end{gathered}\end{gathered}$