\[\boxed{\text{1031.}\text{\ }еуроки - ответы\ на\ пятёрку}\]
\[\textbf{а)}\ x² - y^{2} - 1,5 \cdot (x - y) =\]
\[= (x - y)(x + y) -\]
\[- 1,5 \cdot (x - y) =\]
\[= (x - y)(x + y - 1,5)\]
\[\textbf{б)}\ x² - a^{2} + 0,5 \cdot (x + a) =\]
\[= (x - a)(x + a) +\]
\[+ 0,5 \cdot (x + a) =\]
\[= (x + a)(x - a + 0,5)\]
\[\textbf{в)}\ 4a² - b^{2} - 2a + b =\]
\[= (2a - b)(2a + b) -\]
\[- (2a - b) =\]
\[= (2a - b)(2a + b - 1)\]
\[\textbf{г)}\ p² - 16c^{2} - p - 4c =\]
\[= (p - 4c)(p + 4c) -\]
\[- (p + 4c) =\]
\[= (p + 4c)(p - 4c - 1)\]
\[\textbf{д)}\ a² + 6a + 6b - b^{2} =\]
\[= (a - b)(a + b) + 6 \cdot (a + b) =\]
\[= (a + b)(a - b + 6)\]
\[\textbf{е)}\ x² - 7x + 7y - y^{2} =\]
\[= (x - y)(x + y) -\]
\[- 7 \cdot (x - y) =\]
\[= (x - y)(x + y - 7)\ \]