Find the product for these questions
1.( 2x ) ( 10x )
2. -3m( m + 8 )
3. 4d( 2d -9 )
4. ( 3x + 4 ) ( x -2 )
5. ( 2y -1 ) ( 4y - 3 )
1.( 2x ) ( 10x ) = 20 x²
2. -3m( m + 8 ) = -3m² - 24m
3. 4d( 2d -9 ) = 8d² - 36d
4. ( 3x + 4 ) ( x -2 ) = 3x² - 6x + 4x - 8 = 3x² - 2x -8
5. ( 2y -1 ) ( 4y - 3 ) = 8y² - 6y - 4y + 3 = 8y² -10y +3
Solution 1 :
\((2x)(10x)\)
\(\boxed{= 20x^{2}}\)
Solution 2 :
\(-3m(m+8)\)
\(\boxed{= -3m^{2} - 24m}\)
Solution 3 :
\(4d(2d-9)\)
\(\boxed{= 8d^{2} -36d}\)
Solution 4 :
\((3x+4)(x-2)\)
\(= 3x^{2} - 6x + 4x - 8\)
\(\boxed{= 3x^{2} - 2x - 8}\)
Solution 5 :
\((2y-1)(4y-3)\)
\(= 8y^{2} -6y -4y + 3\)
\(\boxed{= 8y^{2} -10y + 3}\)
Note :
Remember this formulas :
\(a(b+c) = (a \times b)+(a \times c)\)
\((a+b)(c+d)=(a \times c)+(a \times d)+(b \times c)+(b \times d)\)