rút gọn biểu thức
a)(6x+1)^2+(6x-1)^2-2(1+6x)(6x-1)
b)3(2^2+1)(2^4+1)(2^8+1)(1^16+1)
c)x(2x^2-3)-x^(5x+1)+x^2
d)3x(x-2)-5X(1-x)-8(x^2-3)
giúp mik vs ạ !!
rút gọn biểu thức
a)(6x+1)^2+(6x-1)^2-2(1+6x)(6x-1)
b)3(2^2+1)(2^4+1)(2^8+1)(1^16+1)
c)x(2x^2-3)-x^(5x+1)+x^2
d)3x(x-2)-5X(1-x)-8(x^2-3)
giúp mik vs ạ !!
Đáp án: a.$4$ $b.2^{32}-1$ $c.-3x^3-3x$ $d.-11x+24$
Giải thích các bước giải:
a.$(6x+1)^2+(6x-1)^2-2(1+6x)(6x-1)$
$=(6x+1)^2-2(6x+1)(6x-1)+(6x-1)^2$
$=(6x+1-(6x-1))^2$
$=2^2$
$=4$
b.$3(2^2+1)(2^4+1)(2^8+1)(2^{16}+1)$
$=(2^2-1)(2^2+1)(2^4+1)(2^8+1)(2^{16}+1)$
$=(2^4-1)(2^4+1)(2^8+1)(2^{16}+1)$
$=(2^8-1)(2^8+1)(2^{16}+1)$
$=(2^{16}-1)(2^{16}+1)$
$=2^{32}-1$
c.$x(2x^2-3)-x^2(5x+1)+x^2$
$=2x^3-3x-5x^3-x^2+x^2$
$=-3x^3-3x$
d.$3x(x-2)-5x(1-x)-8(x^2-3)$
$=3x^2-6x-5x+5x^2-8x^2+24$
$=3x^2+5x^2-8x^2-6x-5x+24$
$=-11x+24$