Quiz about 多項式の展開クイズ

Question 1

$$\left(3a+1\right)\left(3a-5\right)$$

Accepted Answer

$$9a^2-12a-5$$

Answer

$$3a^2-15a-5$$

Answer

$$9a^2+12a-5$$

Answer

$$9a^2-10a+5$$

Question 2

$$\left(4x-3y\right)^2$$

Accepted Answer

$$16x^2-24xy+9y^2$$

Answer

$$16x^2+24xy+9y^2$$

Answer

$$4x^2-6xy+3y^2$$

Answer

$$8x^2-12xy+4y^2$$

Question 3

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

Accepted Answer

$$9x^2-12xy+4y^2$$

Answer

$$9x^2+12xy+4y^2$$

Answer

$$3x^2-4y^2$$

Answer

$$(3x-2y)(3x+2y)$$

Question 4

$$\left(2x+5\right)\left(3x-1\right)$$

Accepted Answer

$$6x^2+13x-5$$

Answer

$$6x^2-13x-5$$

Answer

$$6x^2+15x+5$$

Answer

$$6x^2+11x-5$$

Question 5

$$\left(2x+y+1\right)\left(2x+y-3\right)$$

Accepted Answer

$$4x^2+4xy+y^2-4x-2y-3$$

Answer

$$4x^2+2xy+y^2-6x-2y+3$$

Answer

$$4x^2+4xy+y^2-2x-4y-3$$

Question 6

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

Accepted Answer

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

Answer

$$x^2+4y^2+9z^2+4xy+8yz+12zx$$

Question 7

$$\left(a+3b+4c\right)^2$$

Accepted Answer

$$a^2+9b^2+16c^2+6ab+24bc+8ca$$

Answer

$$a^2+9b^2+16c^2+6ab+12bc+4ca$$

Question 8

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

Accepted Answer

$$16x^4-72x^2y^2+81y^4$$

Answer

$$64x^4-36y^4$$

Answer

$$16x^4-81y^4$$

Answer

$$16x^4+72x^2y^2+81y^4$$

Question 9

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

Accepted Answer

$$4x^2+4xy+y^2-z^2$$

Answer

$$4x^2+4xy-y^2+z^2$$

Answer

$$4x^2-4xy+y^2-z^2$$

Answer

$$4x^2+2y^2-z^2$$

Create a free account and access millions of resources