Question

1) Escreva o polinômio correspondente:
A) (8x + 1) (8x - 1)
B) (10+ 3x)2
C) (7a - b)2
D) (a3+ b3)​

Answer 1

Resposta:

A)

$(8x + 1)(8x - 1) = \\ \\ {(8x)}^{2} - (1) {}^{2} = \\ \\ \Large\boxed{ \green{ \bf \: 64 {x}^{2} - 1 }}$

B)

$(10 + 3x) {}^{2} = \\ \\ {10}^{2} + 2(10)(3x) + {(3x)}^{2} \\ \\ \Large \boxed{ \green{ \bf 100 + 60x + 9 {x}^{2} }}$

C)

$(7a - b) {}^{2} = \\ \\ {(7a)}^{2} - 2(7a)(b) + {b}^{2} \\ \\ \Large \boxed{ \green{ \bf49 {a}^{2} - 14ab + {b}^{2} }}$

D)

$( {a}^{3} + {b}^{3}) {}^{2} = \\ \\ ({a}^{3} ) {}^{2} + 2( {a}^{3} )( {b}^{3} ) + ( {b}^{3} ) {}^{2} \\ \\ \Large\boxed{ \green{ \bf \: {a}^{6} + 2 {a}^{3} {b}^{3} + {b}^{6} }}$

$\Large\boxed{ \blue{ \underline{ \bf \: Bons \: Estudos!}}}$