# Q p

#### PD

𓚂\ɂꍇ́Ã{^ĂB

(1) ̌vZ܂傤B
(1)$(2x+4)+(3x-2)$
(2)$(4a-7)+(-5a+6)$
(3)$(y+9)-(2y-5)$
(4)$(4x+5y)-(6x-7y)$
(5)$(a^2 -2ab+3b^2 )-(4a^2 +5ab-6b^2 )$

(1) iQ{Sj{iR|Qj
(2) iS|Vj{i|T{Uj
(3) i{Xj|iQ|Tj
(4) iS{Tj|iU|Vj
(5) iQ|Q{RQ j|iSQ{T|UQ j

(1)$\left(2x+4 \right)+ \left(3x-2 \right)$
$=2x+3x+4-2$
$=5x+2$

(2)$\left(4a-7 \right)+\left(-5a+6 \right)$
$=4a-5a-7+6$
$=-a-1$

(3)$\left(y+9 \right)- \left(2y-5 \right)$
$=y-2y+9+5$
$=-y+14$

(4)$\left(4x+5y \right)-\left(6x-7y \right)$
$=4x-6x+5y+7y$
$=-2x+12y$

(5)$(a^2 -2ab+3b^2 )-(4a^2 +5ab-6b^2 )$
$=a^2-2ab+3b^2-4a^2-5ab+6b^2$
$=\left(1-4 \right)a^2+\left(-2-5 \right)ab+\left(3+6 \right)b~2$
$=-3a^2-7ab+9b^2$

(2) ̌vZ܂傤B
(1)$4x \times 5$
(2)$-8y \times 3$
(3)$3 \left( 3a-4 \right)$
(4)$-6 \left( -2x-3 \right)$
(5)$\dfrac {5a+3} {2} \times 8$
(6)$\dfrac {2a+4b} {5} \times 2$

(1) S~T
(2) |W~R
(3) RiR|Sj
(4) |Ui|Q|Rj
(5)  T{R     Q    ~W
(6)  Q{S      T     ~Q

(1)$4x \times 5$
$=20x$

(2)$-8y \times 3$
$=-24y$

(3)$3 \left( 3a-4 \right)$
$=9a-12$

(4)$-6 \left( -2x-3 \right)$
$=12x+18$

(5)$\dfrac {5a+3} {2} \times 8$
$=4\left( 5a+3 \right)$
$=20a+12$

(6)$\dfrac {2a+4b} {5} \times 2$
$=\dfrac {2} {5} \left( 2a+4b \right)$
$=\dfrac {4a+8b} {5}$    $\dfrac {4a} {5} +\dfrac {8b} {5}$  ƏĂnjłB

(3) ̌vZ܂傤B
(1)$18x \div 3$
(2)$21y \div \left( -7 \right)$
(3)$15a \div \dfrac {3} {5}$
(4)$\left( 4x-8 \right) \div 2$
(5)$\left( 4a-3b \right) \div \dfrac {2} {3}$
(6)$\left( \dfrac {3} {5} a+6 \right) \div 3$

(1)$18x \div 3$
$=18x \times \dfrac {1} {3}$
$=6x$

(2)$21y \div \left( -7 \right)$
$=21y\times \left( -\dfrac {1} {7} \right)$
$=-3y$

(3)$15a \div \dfrac {3} {5}$
$=15a \times \dfrac {5} {3}$
$=25a$

(4)$\left( 4x-8 \right) \div 2$
$= \left( 4x-8 \right) \times \dfrac {1} {2}$
$=2x-4$

(5)$\left( 4a-3b \right) \div \dfrac {2} {3}$
$= \left( 4a-3b \right) \times \dfrac {3} {2}$
$=6a-\dfrac {9} {2} b$

(6)$\left( \dfrac {3} {5} a+6 \right) \div 3$
$= \left( \dfrac {3} {5} a+6 \right) \times \dfrac {1} {3}$
$=\dfrac {a} {5} +2$

(4) ̌vZ܂傤B
(1)$2\left( 3x+4 \right) +3\left( x-2 \right)$
(2)$4\left( 2a+2b \right) -2\left( 3a-b \right)$
(3)$3\left( x^2 -3x-5 \right)+4\left( 2x^2 -x+2 \right)$
(4)$\dfrac {a-1} {2} +\dfrac {a-2} {3}$

(1)$2\left( 3x+4 \right) +3\left( x-2 \right)$
$=6x+8+3x-6$
$=\left( 6+3 \right)x+8-6$
$=9x+2$

(2)$4\left( 2a+2b \right) -2\left( 3a-b \right)$
$=8a+8b-6a+2b$
$=\left( 8-6 \right)a+\left( 8+2 \right)b$
$=2a+10b$

(3)$3\left( x^2 -3x-5 \right)+4\left( 2x^2 -x+2 \right)$
$=3x^2-9x-15+8x^2-4x+8$
$=\left( 3+8 \right)x^2+\left( -9-4 \right)x-15+8$
$=11x^2-13x-7$

(4)$\dfrac {a-1} {2} +\dfrac {a-2} {3}$
$=\dfrac {3\left( a-1 \right)+2\left( a-2 \right)} {6}$
$=\dfrac {3a-3+2a-4} {6}$
$=\dfrac {\left( 3+2 \right)a-3-4} {6}$
$=\dfrac {5a-7} {6}$