Factorisation by Grouping Terms

Q.

Factorise:$25a^2-4b^2+28bc-49c^2$

Q. x^2-8x-1280 factorise

Q.

$(ax+by{)}^2+(bx-ay{)}^2$ factorise it

Q.

Factorise the polynomial $14(3y-5z{)}^3+7(3y-5z{)}^2$

Q.

Factorize

i) x⁴ - y⁴ + x² - y²

Q. Factorise : xy-pq+qy-px

Q. $\text{Factorise the expression:}z-19+19xy-xyz$

1. $(1-xy)(z+19)$
2. $(1+xy)(z-19)$
3. $(1+xy)(z+19)$
4. $(1-xy)(z-19)$

Q. Factorise: a³+ab(1-2a)-2b^{​​​​2}

Q.

xy(z² + 1) + z(x² + y²) can be factorise as

Q. The factorisation of ab - a - b + 1 is

1. (a+1)(b+1)
2. (a-1)(b-1)
3. (a+1)(b-1)
4. (a-1)(b+1)

Q. $m^2-10m+21$ = $(m-7)$x.

1. $(2m-3)$
2. $(m+7)$
3. $(m+3)$
4. $(m-3)$

Q.

In the method of regrouping, we ________ .

1. use identity and factorize.

2. split the expression.

3. change the expression into a perfect square.

4. rearrange the terms of the expression and then group them.

Q. How to solve x⁵-x factorization

Q. Which of the following is the factorisation of (xy + x + 4y + 4)?

1. (4x + 4)(4y + 4)
2. (x + 4)(4y + 1)
3. (3x + 4)(y + 1)
4. (x + 4)(y + 1)

Q. Question 3(ii)
Factorise
$15xy-6x+5y-2$

Q. Factorise 9x^2y-24xy^2+16y^3

Q.

Algebraic expression , topic simplify expression

Q. Question 3(ix)
Factorise the expressions
$6xy-4y+6-9x$

Q. $\text{Factorise:}12xy-8x+9y-6$

1. $(3y-2)(4x+3)$
2. $(3y-2)(4x-3)$
3. $(3y-2)(3x+2)$
4. $(3y+2)(4x+3)$

Q.

x² + (a + b)x + ab can be factorised as ______ .

1. (x - a) (x + b)

2. (x + a) (x + b)

3. (x - a) (x - b)

4. (x + a) (x - b)

Q.

Factorise it:-

(n - 10)² + (10 - n)

Q. (1) }9x-x^2-20 (2) }(x+7)(x-10)+16 Factorize it

Q. $5xy+25y+3x+15$ is factorised as

1. $(5y+3)(x+5)$
2. $(y+3)(5x+25)$
3. $(y-3)(x-5)$

Q. Factorise the expressions and divide them as directed
$4yz(z^2+6z-16)÷2y(z+8)$ [2 marks]

Q. Factorise the expression 4x + 12xy.

1. 4x(1 + 3y)
2. x(1 + y)
3. 4x(1 - 3y)
4. x(1 + 3y)

Q. $\text{Factorise the expression:}5m^2+50m+125$

Q. $2pq+4pr-3sq-6sr$ = $(2p-3s)\times$

1. $(q+2r)$
   
2. $(q-2r)$
3. $(q+r)$
4. $(q-r)$

Q. $\text{Factorise the expression:}2xy+3x+2y+3.$

1. $(2x+3)(y+1)$
2. $(x+1)(2y+1)$
3. $(2x+1)(2y+3)$
4. $(x+1)(2y+3)$

Q. Factorise :
A) X2 - 3x+ 2
B) 64-25r2+60rs-3xs2

Q. $2pq+4pr-3sq-6sr$ = $(2p-3s)\times$

1. $(q+2r)$
   
2. $(q-2r)$
3. $(q+r)$
4. $(q-r)$