Question
Factorise the following, using the identity $a^2+ 2ab + b^2= (a + b)^2$
$a^2x^2+ 2abxy + b^2y^2$
$a^2x^2+ 2abxy + b^2y^2$
✓
Answer
$ a^2 x^2+2 a b x y+b^2 y^2 $
$ =(a x)^2+2 \times a x \times b y+(b y)^2 $
$ =(a x+b y)^2 $
$= (ax + by)(ax + by)$
$ =(a x)^2+2 \times a x \times b y+(b y)^2 $
$ =(a x+b y)^2 $
$= (ax + by)(ax + by)$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
Find the square root of $31.36$ decimal number.
→Find the multiplicative inverse of $(-7)^{-2}÷ (90)^{-1}$.
→Which of the following numbers are perfect cubes? In case of perfect cube, find the number whose cube is the given number. $9261$
→Factorise: $ x^2+6 a x+9 a^2$
→Find the following products:
$ \left(2 x^2-5 y^2\right) \times\left(x^2+3 y^2\right) $
→$ \left(2 x^2-5 y^2\right) \times\left(x^2+3 y^2\right) $
Top surface of a raised platform is in the shape of a regular octagon as shown in the figure. Find the area of the octagonal surface.
Perform the following divisions: $\left(3 p q r-6 p^2 q^2 r^2\right) \div 3 p q$
→In a simultaneous throw of a pair of dice, find the probability of getting: a sum less than $7.$
→Find the common factors of the given term: $10pq, 20qr, 30rp$
→Factorize: $3x - 9$
→