Expresa el desarrollo de cada producto notable: RAIDO ES PARA HOY MI TRABAJO PLS (º_º) 1.(a+3)(a+2)= 2.(7x^2-5)(7x^2-1)= 3.(b+5)(b-7)= 4.x^2+3√2)(x^2+5√2)=ç 5.(√10-8)(√10+5)= 6.(a+4)^3= 7.〖(3a-2)〗^3= 8.(a^2-b^3 )^3= 9. (x-2a)^3= 10. (t^5+〖2t〗^3 )^3=
Respuestas
1.(a+3)(a+2)
=(a+3)(a+2)
=(a)(a)+(a)(2)+(3)(a)+(3)(2)
=a2+2a+3a+6
=a2+5a+6
(a+2)(a+3)
2.(7x2−5)(7x2−1)
=(7x2+−5)(7x2+−1)
=(7x2)(7x2)+(7x2)(−1)+(−5)(7x2)+(−5)(−1)
=49x4−7x2−35x2+5
=49x4−42x2+5
=(7x2−1)(7x2−5)
3.=(b+5)(b+−7)
=(b)(b)+(b)(−7)+(5)(b)+(5)(−7)
=b2−7b+5b−35
=b2−2b−35
4. x^2+3√2)(x^2+5√2)
=x4+11.313708x2+30
5
(√10−8)(√10+5)
=−30−3√10(Decimal: -39.486833)
6.=(a+4)*(a+4)*(a+4)
=(a+4)(a2+8a+16)
=(a)(a2)+(a)(8a)+(a)(16)+(4)(a2)+(4)(8a)+(4)(16)
=a3+8a2+16a+4a2+32a+64
=a3+12a2+48a+64
6.=(a+4)*(a+4)*(a+4)
=(a+4)(a2+8a+16)
=(a)(a2)+(a)(8a)+(a)(16)+(4)(a2)+(4)(8a)+(4)(16)
=a3+8a2+16a+4a2+32a+64
=a3+12a2+48a+64
7.=(3a−2)*(3a−2)*(3a−2)
=(3a+−2)(9a2+−12a+4)
=(3a)(9a2)+(3a)(−12a)+(3a)(4)+(−2)(9a2)+(−2)(−12a)+(−2)(4)
=27a3−36a2+12a−18a2+24a−8
=27a3−54a2+36a−8
8.
(a2−b3)3
=(a2−b3)*(a2−b3)*(a2−b3)
=(a2+−b3)(b6+−2a2b3+a4)
=(a2)(b6)+(a2)(−2a2b3)+(a2)(a4)+(−b3)(b6)+(−b3)(−2a2b3)+(−b3)(a4)
=a2b6−2a4b3+a6−b9+2a2b6−a4b3
=−b9+3a2b6−3a4b3+a6
9.
(x−2a)3
=(x−2a)*(x−2a)*(x−2a)
=(x+−2a)(4a2+−4ax+x2)
=(x)(4a2)+(x)(−4ax)+(x)(x2)+(−2a)(4a2)+(−2a)(−4ax)+(−2a)(x2)
=4a2x−4ax2+x3−8a3+8a2x−2ax2
=−8a3(t5+2t3)3
=(t5+2t3)*(t5+2t3)*(t5+2t3)
=(t5+2t3)(t10+4t8+4t6)
=(t5)(t10)+(t5)(4t8)+(t5)(4t6)+(2t3)(t10)+(2t3)(4t8)+(2t3)(4t6)
=t15+4t13+4t11+2t13+8t11+8t9
=t15+6t13+12t11+8t9
+12a2x−6ax2+x3
10.