Question

A)(2x+3)×(3x-2) б)(5a-4)×(3a-2(в)(7c-1)×(5-6c) г)(-2n+3)×(3n-2)​

Answer 1

Ответ:

a)(2x+3)×(3x-2)=2x×3x-2x×2+3×3x-3×2=6x²-4x+9x-6=6x²+5x-6

б)(5a-4)×(3a-2)=5a×3a-5a×2-4×3a-4×(-2)=15a²-10a-12a+8=15a²-22a+8

в)(7c-1)×(5-6c)=7c×5-7c×6c-5-1×(-6c)=35c-42c²-5+6c=41c-42c²-5=-42c²+41c-5

г)(-2n+3)×(3n-2)=-2n×3n-2n×(-2)+3×3n-3×2=-6n²-4n+9n-6=-6n²+13n-6

Answer 2

Let's simplify each of the given expressions:

a) (2x + 3) × (3x - 2)

Using the distributive property, we can expand this expression as follows:

(2x + 3) × (3x - 2) = 2x × 3x + 2x × (-2) + 3 × 3x + 3 × (-2)

= 6x² - 4x + 9x - 6

= 6x² + 5x - 6

b) (5a - 4) × (3a - 2)

Expanding this expression using the distributive property:

(5a - 4) × (3a - 2) = 5a × 3a + 5a × (-2) - 4 × 3a - 4 × (-2)

= 15a² - 10a - 12a + 8

= 15a² - 22a + 8

c) (7c - 1) × (5 - 6c)

Expanding using the distributive property:

(7c - 1) × (5 - 6c) = 7c × 5 - 7c × 6c - 1 × 5 - 1 × (-6c)

= 35c - 42c² - 5 + 6c

= -42c² + 41c - 5

d) (-2n + 3) × (3n - 2)

Expanding using the distributive property:

(-2n + 3) × (3n - 2) = -2n × 3n - 2n × (-2) + 3 × 3n + 3 × (-2)

= -6n² + 4n + 9n - 6

= -6n² + 13n - 6

These are the simplified forms of the given expressions.