Question

calcule

(d) (x³-2)²

(e) (2m³-3)²

(f) (a²-b²)²

(g) (x-5y⁴)²


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Answer 1

Resposta:

d)

$\sf{(x³-2)²}$

$\sf{( {x}^{3} ) {}^{2} } - 2x {}^{3} x2 + 2 {}^{2}$

$\sf{( {x}^{3} ) {}^{2} } - 2x {}^{3} x2 + 2 {}^{2}$

$\sf{ {x}^{6} } - 2x {}^{3} x2 + {2}^{2}$

$\sf{ {x}^{6} } - 4 {x}^{3} + {2}^{2}$

$\rightarrow \boxed{\sf{ {x}^{6} - 4x {}^{3} + 4 }} {}^{}$

e)

$\sf{(2m³-3)²}$

$\sf{( 2m {}^{3} ) {}^{2} } - 2x2m {}^{2} x3 + 3 {}^{2}$

$\sf{4m {}^{6} } - 2x2m {}^{3} x3 + {}^{2}$

$\sf{4m {}^{6} } - 12m {}^{3} + {3}^{2}$

$\rightarrow \boxed{\sf{4m {}^{6} - 12m {}^{3} + 9 }}$

f)

$\sf{(a²-b²)² }$

$\sf{( {a}^{2}) - 2a {}^{2}b {}^{2} + (b {}^{2} ) {}^{2} }$

$\sf{ {a}^{2} - 2 {a}^{2} {b}^{2} + (b {}^{2} ) {}^{2} }$

$\rightarrow \boxed{\sf{ {a}^{4} - 2a {}^{2} b {}^{2} + b {}^{4} }}$

g)

(x-5y⁴)²

$\sf{ {x}^{2} - 2x.5y {}^{4} + (5y {}^{4}) {}^{2} }$

$\sf{ {x}^{2} - 10xy {}^{4} + (5y {}^{4} ) {}^{2} }$

$\rightarrow \boxed{\sf{ {x}^{2} - 10xy {}^{4} + 25y {}^{8} }}$

Explicação passo-a-passo:

(espero ter colaborado)