Free Printable Verifica polinomi

1.

$(18x^5y^2–24x^4y^3+30x^6y^4):(–6x^3y^2)=$

a)

$-\frac{1}{3}x^2+4xy+5x^3y$

b)

$–3x^2+4xy–5x^3y$

c)

$–3x^2+\frac{1}{5}xy^2–5x^3y2$

d)

$+3x^2-4xy\ –9\ x^3y$

2.

$\left(-10a^3b^4\ +6a^2b^8\ \right):\ _{.....................}=+5a^3b^2\ -3a^2b^6$

a)

$-2b^2$

b)

$+5ab^2$

c)

$-\frac{1}{2}a^2b$

d)

$-2b$

3.

$\left(\frac{1}{4}m+n\right)\ \left(\frac{1}{4}m-n\right)=$

a)

$\frac{1}{16}m^2-n^2$

b)

$\frac{1}{8}m^2-n^2$

c)

$\left(\frac{1}{4}m+n\right)^2$

d)

$-\frac{1}{4}m^2n^2$

4.

$\left(\frac{3}{8}xy^{10}\ -\ x^6\right)\ \left(\frac{3}{8}xy^{10}\ +\ x^6\right)=$

a)

$\frac{9}{8}x^2y^{100}\ -\ x^{36}$

b)

$\frac{3}{8}x^2y^{20}\ -\ x^{12}$

c)

$\frac{9}{64}x^2y^{20}\ -\ x^{12}$

d)

$\frac{9}{64}x^2y^{100}\ +\ x^{36}$

5.

$\left(-4-3b\right)^2=$

a)

$16-12b+9b^2$

b)

$16+12b+9b^2$

c)

$16-24b+9b^2$

d)

$16+24b+9b^2$

6.

$\left(\frac{4}{5}a^3+\frac{5}{2}bc\right)^2=$

a)

$\frac{16}{25}a^9\ +2a^3bc+\frac{25}{4}b^2c^2$

b)

$\frac{16}{5}a^6\ +2a^3bc+\frac{25}{2}a^3b^2c^2$

c)

$\frac{16}{25}a^6\ +4a^3bc+\frac{25}{4}b^2c^2$

d)

$\frac{16}{25}a^3\ +4a^3bc+\frac{25}{4}bc$

7.

$\left(3ab+2a^2c\right)^3=$

a)

$27a^3b^3+54a^4b^2c+36a^5bc^2+8a^6c^3$

b)

$27a^3b^3+6a^3bc+12a^4bc^2+8a^6c^3$

c)

$27a^3b^3+12a^3b^2c^2+36a^5bc^2+8a^9c^3$

d)

$27a^3b^3-54a^4bc^2+36a^4bc^2+8a^6c^3$

8.

Semplifica la seguente espressione:

$(a+b)\ (a–b)–2a\ (a–2b)+(a+b)^2$

a)

$4a^2\ +2ab$

b)

$12ab$

c)

$6ab$

d)

$-2ab$

9.

Semplifica la seguente espressione:

$(2a^2–5b^2)(2a^2+5b^2)+(a^2+4b^2)^2\ –\ (–2a)(–4ab^2)$

a)

$5a+b^2-5ab$

b)

$5a^4-9b^4$

c)

$5a^4-8a^3b^2$

d)

$4a^4-8b^4$

10.

Semplifica la seguente espressione:

$[(4x^2–y^2)–(3x+y)(3x–y)]:(–3x^2)$

a)

$\frac{1}{4}x^2+y$

b)

$\frac{3}{4}xy$

c)

$\frac{10}{3}x^2$

d)

$\frac{5}{3}$

11.

Un orticello a forma di rettangolo ha le dimensioni (a – 1) e (a+1). Qual è l'espressione letterale del perimetro in funzione di a?

a)

$4a$

b)

$4a+4$

c)

$a^2-1$

d)

$6a+2$

12.

Un orticello a forma di rettangolo ha le dimensioni (a – 1) e (a+1). Qual è l'espressione letterale dell'area in funzione di a?

a)

$4a^2$

b)

$2a^2+2$

c)

$a^2-1$

d)

$6a+2$

13.

Semplifica la seguente espressione:

$\left(2x\ -\frac{2}{3}y\right)^2-\ \left[4\left(x+\frac{1}{2}y\right)^2-\left(\frac{1}{2}x-\frac{1}{3}y\right)\left(\frac{1}{2}x+\frac{1}{3}y\right)\right]+\frac{2}{3}\left(\frac{1}{2}x+y\right)^2+6xy$

a)

$\frac{3}{4}x^2y$

b)

$\frac{7}{12}x^2+6y$

c)

$\frac{5}{12}x^2$

d)

$\frac{1}{12}xy^2$

Verifica polinomi

Total questions: 13

Worksheet time: 2hrs 5mins

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