Question

2
i) (a² + b²) (- a² + b²)

Answer 1

Hello!

Answer:

`\Large \boxed{\sf - a^(4) + b^(4)}`

Explanation:

→ We want to simplify this expression:

`\sf (a^2 + b^2 ) (- a^2 + b^2 )`

◼ Distribute the expression:

`\sf a^2 (- a^2 + b^2 )+ b^2 (- a^2 + b^2 )`

`\sf a^2 (- a^2)+ a^2 (b^2)+ b^2 (- a^2) + b^2(b^2 )`

◼ Simplify the expression:

`\sf - a^(2+2 )+ ab^(2 +2) + (-ab^(2+2)) + b^(2+2)`

`\sf - a^(4)+ ab^(4) -ab^(4) + b^(4)`

`\boxed{\sf - a^(4) + b^(4)}`

Conclusion:

The expression (a²+b²) (-a²+b²) is equal to -a⁴ + b⁴.