Question

поиогите дам 50 баллов

Answer 1

$1.$

$1) \: \: \: \: \: ab + 5a + bm + 5m = a(b + 5) + m(b + 5) = (b + 5)(a + m)$

$2) \: \: \: \: \: mp - b + bp - m = m(p - 1) + b(p - 1) = (p - 1)(m + b)$

$3) \: \: \: \: \: {x}^{2} + bx - {b}^{2}y - bxy = x(x + b) - by(b + x) = (x + b)(x - by)$

$2.$

$1) \: \: \: \: \: {(a - 3)}^{2} = {a}^{2} - 6a + 9$

$2) \: \: \: \: \: {(c + 0.3)}^{2} = {c}^{2} + 0.6c + 0.09$

$3) \: \: \: \: \: {(2a - 5) {}^{2} = {4a}^{2} }^{} - 20a + 25$

$4) \: \: \: \: \: {(4y + 3)}^{2} = {16y}^{2} + 24y + 9$

$5) \: \: \: \: \: {(4b + 7a)}^{2} = {16b}^{2} + 56ab + 49 {a}^{2}$

$6) \: \: \: \: \: {( \frac{1}{2}m - 2n) }^{2} = { \frac{1}{4} m}^{2} - 2mn + {4n}^{2}$

$3.$

$1)$

${(x - 4)}^{2} - {x}^{2} = 24 \\ {x}^{2} - 8x + 16 - {x}^{2} = 24 \\ - 8x = 24 - 16 \\ - 8x = 8 \\ x = - 1$

$2)$

${(y + 5)}^{2} = 5y + {y}^{2} \\ {y}^{2} + 10y + 25 = 5y + {y}^{2} \\ {y}^{2} + 10y - 5y - {y}^{2} = - 25 \\ 5y = - 25 \\ y = - 5$