Question

Преобразуйте в многочлен: а)(3 + 2)2 = б)(2 − )2 = в)(4 − 2)(2 + 4 ) = г)(6 + 2 )(2 − 6 ) =

Answer 1

Ответ:

а) 6+4=10

б) 4-?

в) 8+16-4-8=12

г) 12-36+4-12= -32

Answer 2

Converting Expressions to Polynomials

a) (3 + 2)2 = To convert the given expression to a polynomial, we expand the expression using the formula (a + b)2 = a2 + 2ab + b2. Therefore, (3 + 2)2 = 32 + 2 * 3 * 2 + 22. This simplifies to 9 + 12 + 4. So, the polynomial form is 9 + 12 + 4.

b) (2 - )2 = Using the same expansion formula, (a - b)2 = a2 - 2ab + b2, we can convert the given expression to a polynomial. Therefore, (2 - )2 = 22 - 2 * 2 * + 2. This simplifies to 4 - 4 + 4. So, the polynomial form is 4 - 4 + 4.

c) (4 - 2)(2 + 4) = To convert the given expression to a polynomial, we use the distributive property to expand the expression. (4 - 2)(2 + 4) = 4 * 2 + 4 * 4 - 2 * 2 - 2 * 4. This simplifies to 8 + 16 - 4 - 8. So, the polynomial form is 8 + 16 - 4 - 8.

d) (6 + 2)(2 - 6) = Using the distributive property, we expand the given expression. (6 + 2)(2 - 6) = 6 * 2 - 6 * 6 + 2 * 2 - 2 * 6. This simplifies to 12 - 36 + 4 - 12. So, the polynomial form is 12 - 36 + 4 - 12