Free Printable Exercise 16n

1.

$\left(3-y\right)^2$

a)

$6+y^2$

b)

$9-6y+y^2$

c)

$9+6y+y^2$

d)

$9-6y-y^2$

2.

$\left(3a+2\right)^2$

a)

$6a^2\ +\ 6a\ +2$

b)

$9a^2\ +\ 6a\ +4$

c)

$9a^2\ +\ 4a\ +2$

d)

$9a^2\ +\ 12a\ +4$

3.

$\left(5a-4\right)^2$

a)

$20a^2\ -30a\ +12$

b)

$25a^2\ -40a\ -16$

c)

$25a^2\ -40a\ +16$

d)

$25a^2\ +40a\ +16$

4.

$\left(-2m+3n\right)^2$

a)

$13mn^2\ -12mn\$

b)

$4m^2\ -12mn\ -9n^2$

c)

$4m^2\ -12mn\ +9n^2$

d)

$4m^2\ -12mn\ +9n$

5.

$\left(-2x-y\right)^2$

a)

$8x^2\ +8xy\ +4y^2$

b)

$4x^2\ +4xy\ +y^2$

c)

$4x^2\ -4xy\ -y^2$

d)

$4xy^2\ +4xy\$

6.

$\left(-7-x\right)^2$

a)

$49\ +14x\ +x^2$

b)

$7+7x\ +x^2$

c)

$49\ -14x\ -x^2$

d)

$49\ -14x\ +x^2$

7.

$\left(5-x^2\right)^2$

a)

$25-10^2+x^3$

b)

$25+10x^2+x^4$

c)

$25-10x^2+x^2$

d)

$25-10x^2+x^4$

8.

$\left(\frac{1}{2}x-y\right)^2$

a)

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

b)

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

c)

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

d)

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

9.

$\left(9x+\frac{1}{3}y\right)^2$

a)

$81x^2+6xy\ +\frac{1}{9}y^2$

b)

$9x^2+6xy\ +\frac{1}{9}y^2$

c)

$81x^2+-6xy\ -\frac{1}{9}y^2$

d)

$81x^2+6xy\ +\frac{1}{3}y^2$

10.

$\left(\frac{2}{3}xy-3\right)^2$

a)

$\frac{4}{9}x^2y^2-\ 4xy+9x$

b)

$\frac{4}{9}xy^2-\ 4xy+9$

c)

$\frac{5}{9}x^2y^2-\ 2xy+3$

d)

$\frac{4}{9}x^2y^2-\ 4xy+9$

11.

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

a)

$9a^2+\frac{24}{5}ab+\frac{16}{25}b^2$

b)

$9a^2+\frac{5}{24}ab+\frac{16}{21}b^2$

c)

$9a+\frac{24}{5}ab+\frac{16}{25}b^{ }$

d)

$9a^2+24ab+16b^2$

12.

$\left(-\frac{1}{4}a-\frac{1}{6}b\right)^2$

a)

$\frac{1}{16}a^{ }+\frac{1}{12}ab+\frac{1}{36}b^{ }\ \$

b)

$\frac{1}{16}a^2\ +12ab+\frac{1}{36}b^2\ \$

c)

$\frac{1}{16}a^2\ +\frac{1}{12}ab+\frac{1}{36}b^2\ \$

d)

$\frac{1}{4}a^2\ +\frac{1}{4}ab+\frac{1}{6}b^2\ \$

13.

$\left(x-y-z\right)^2$

a)

$x^2+y^2+z^2+2xy+2yz+2xz$

b)

$x^2+y^2+z^2-2xy+2yz-2xz$

14.

$\left(a+b+2c\right)^2$

a)

$a^2+b^2+2c^2+ab+2ac+2bc$

b)

$a^2+b^2+4c^2+2ab+4ac+4bc$

15.

$\left(x-y+z\right)^2$

a)

$x^2+y^2+z^2+2xy-2xz-2yz$

b)

$x^2+y^2+z^2-2xy-2xz-2yz$

16.

$9001^2$

a)

81018001

b)

80118001

c)

88010101

d)

88101000

17.

$78^2+312\ +4\$

a)

4600

b)

6400

c)

640

d)

64000

18.

$301^2-602+1$

a)

90010

b)

900

c)

90000

d)

9000

19.

Given that x-y=3 and x²+y²=5 , find the value of xy.

a)

-2

b)

2

c)

15

d)

12

20.

Given that x²+6x+m is a perfect square, find the value of m.

a)

9

b)

11

c)

15

d)

18

21.

Given that (x+y)² = 8 and xy =3, find the value of x²+y².

a)

5

b)

2

c)

6

d)

4

22.

$\left(2x-3y+z\right)^2$

a)

$4x^2+9y^2+z^2+12xy-4xz-6yz$

b)

$4x^2+9y^2+z^2-12xy+4xz-6yz$

23.

$\left(3p+q\right)^2\left(3p-q\right)^2$

a)

$81p^4+18p^2q^2+q^4$

b)

$81p^4-18p^2q^2+q^4$

c)

$81p^4-18p^2q^2-q^4$

24.

$3\left(2x+y\right)^2-2\left(x-y\right)^2$

a)

$10x+16xy+y$

b)

$10x^2+16xy+y^2$

c)

$9x^2+12xy+3y^2$

Exercise 16n

Total questions: 24

Worksheet time: 1hrs 12mins

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