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Формули скороченого множення

Total questions: 9

Worksheet time: 5mins

Name
Class
Date
1.

(−5−2a)2\left(-5-2a\right)^2  

a)

a2+52a^2+5^2  

b)

(5−2a)(5+2a)\left(5-2a\right)\left(5+2a\right)  

c)

2a2+10a+252a^2+10a+25  

d)

4a2+20a2+254a^2+20a^2+25  

2.

Піднесіть до квадрата суму а і 5

a)

а2+5а+25а^2+5а+25  

b)

(а+5)(а−5)\left(а+5\right)\left(а-5\right)  

c)

а2+10а+25а^2+10а+25  

d)

а2+52а^2+5^2  

3.

(8n+5q)2\left(8n+5q\right)^2  

a)

64n2+40nq+25q264n^2+40nq+25q^2  

b)

64n2+80nq+25q264n^2+80nq+25q^2  

c)

64n2+25q264n^2+25q^2  

d)

64n2−25q264n^2-25q^2  

4.

14b2−13bc+c29\frac{1}{4}b^2-\frac{1}{3}bc+\frac{c^2}{9}  

a)

  (b2+c3)2\left(\frac{b}{2}+\frac{c}{3}\right)^2  

b)

  (14b+13c)2\left(\frac{1}{4}b+\frac{1}{3}c\right)^2  

c)

(b2)2+(c3)2\left(\frac{b}{2}\right)^2+\left(\frac{c}{3}\right)^2  

d)

(12b−13c)2\left(\frac{1}{2}b-\frac{1}{3}c\right)^2  

5.

m6+0.36−1.2m3m^6+0.36-1.2m^3  

a)

(m3)2−(0.6)2\left(m^3\right)^2-\left(0.6\right)^2  

b)

(m2−0.6)2\left(m^2-0.6\right)^2  

c)

(m3−0.6)2\left(m^3-0.6\right)^2  

d)

(m3−6)2\left(m^3-6\right)^2  

6.

x2−100x^2-100  

a)

(x+10)(x+10)\left(x+10\right)\left(x+10\right)  

b)

(x+10)(x−10)\left(x+10\right)\left(x-10\right)  

c)

(x−10)(x−10)\left(x-10\right)\left(x-10\right)  

d)

(x+100)(x−100)\left(x+100\right)\left(x-100\right)  

7.

Піднесіть до квадрата різницю р і 4

a)

p2−8p+16p^2-8p+16  

b)

p2−4p+16p^2-4p+16  

c)

(p−4)(p−4)\left(p-4\right)\left(p-4\right)  

d)

(p−4)(p+4)\left(p-4\right)\left(p+4\right)  

8.

x4y4−916x^4y^4-\frac{9}{16}  

a)

((xy)2−34)((xy)2−34)\left(\left(xy\right)^2-\frac{3}{4}\right)\left(\left(xy\right)^2-\frac{3}{4}\right)  

b)

(xy−34)(xy+34)\left(xy-\frac{3}{4}\right)\left(xy+\frac{3}{4}\right)  

c)

(xy+34)(xy+34)\left(xy+\frac{3}{4}\right)\left(xy+\frac{3}{4}\right)  

d)

((xy)2−34)((xy)2+34)\left(\left(xy\right)^2-\frac{3}{4}\right)\left(\left(xy\right)^2+\frac{3}{4}\right)  

9.

(−5+2a)2\left(-5+2a\right)^2  

a)

(5−2a)(5+2a)\left(5-2a\right)\left(5+2a\right)  

b)

a2+5a+25a^2+5a+25  

c)

2a2+10a+252a^2+10a+25  

d)

4a2−20a+254a^2-20a+25