Respuesta:
1. m^ 2 −2mn+n^ 2
2. w^ 2 −8w+16
3. 25a^ 4 −30a^2 b^ 3 +9b^ 6
4. 4(3x−y)^ 2
5. 9x^ 2 /25 − 3xy/5 + y^ 2/4
Explicación paso a paso:
1. (m-n)^2 = m^ 2 −2mn+n^ 2
2.(w-4)^ 2 = w 2 −2w×4+4 2 = w 2 −2w×4+16 = w 2 −8w+16
3. (5a ^2-3b^3)^2= (5a 2 ) 2 −2×5a 2 ×3b 3 +(3b 3 ) 2 = 5 2 (a 2 ) 2 −2×5a 2 ×3b 3 +(3b 3 ) 2 = 25(a 2 ) 2 −2×5a 2 ×3b 3 +(3b 3 ) 2 = 25a 4 −2×5a 2 ×3b 3 +3 2 (b 3 ) 2 = 25a 4 −2×5a 2 ×3b 3 +9b 6 = 25a 4 −30a 2 b 3 +9b 6
4. (6x-2y)^2= (2(3x−y)) 2 = 2 2 (3x−y) 2 = 4(3x−y) 2
5. (3/5x-1/2y)^2 = ( 5 3x ) 2 −2× 5 3x × 2 y +( 2 y ) 2 = 5 2 3 2 x 2 −2× 5 3x × 2 y +( 2 y ) 2 = 9x 2 −2× 5 3x × 2 y + 4 y 2 = 25 9x 2 − 5 + 4 2
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Respuesta:
1. m^ 2 −2mn+n^ 2
2. w^ 2 −8w+16
3. 25a^ 4 −30a^2 b^ 3 +9b^ 6
4. 4(3x−y)^ 2
5. 9x^ 2 /25 − 3xy/5 + y^ 2/4
Explicación paso a paso:
1. (m-n)^2 = m^ 2 −2mn+n^ 2
2.(w-4)^ 2 = w 2 −2w×4+4 2 = w 2 −2w×4+16 = w 2 −8w+16
3. (5a ^2-3b^3)^2= (5a 2 ) 2 −2×5a 2 ×3b 3 +(3b 3 ) 2 = 5 2 (a 2 ) 2 −2×5a 2 ×3b 3 +(3b 3 ) 2 = 25(a 2 ) 2 −2×5a 2 ×3b 3 +(3b 3 ) 2 = 25a 4 −2×5a 2 ×3b 3 +3 2 (b 3 ) 2 = 25a 4 −2×5a 2 ×3b 3 +9b 6 = 25a 4 −30a 2 b 3 +9b 6
4. (6x-2y)^2= (2(3x−y)) 2 = 2 2 (3x−y) 2 = 4(3x−y) 2
5. (3/5x-1/2y)^2 = ( 5 3x ) 2 −2× 5 3x × 2 y +( 2 y ) 2 = 5 2 3 2 x 2 −2× 5 3x × 2 y +( 2 y ) 2 = 9x 2 −2× 5 3x × 2 y + 4 y 2 = 25 9x 2 − 5 + 4 2