Question
Factorise:
$9 x^2-16 y^2$
$9 x^2-16 y^2$
✓
Answer
$9 x^2-16 y^2$
$=(3 x)^2-(4 y)^2$
$=(3 x+4 y)(3 x-4 y)$
$=(3 x)^2-(4 y)^2$
$=(3 x+4 y)(3 x-4 y)$
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
For the following numbers write the ratio of first number to second number in the reduced form : 114,133
Express the following linear equations in the form ax + by + c = 0 and indicate the values of a, b and c in case:$\text{x}-\frac{\text{y}}{2}-5=0$
→Write the following sets using listing method and classify into finite or infinite set :
$E=\left\{x \mid x \in I, x^2=100\right\}$
→$E=\left\{x \mid x \in I, x^2=100\right\}$
Find the zero of the polynomial:
$\text{p}(\text{x})=\text{ax},\ \text{a}\neq0$
→$\text{p}(\text{x})=\text{ax},\ \text{a}\neq0$
State in which quadrant or on which axis do the following points lie : N(0, 9)
Simplify : $8 \sqrt{5}+\sqrt{20}-\sqrt{125}$
→Let the set of English alphabets be the Universal set. The letters of the word ‘LAUGH’ is one set and the letter of the word ‘CRY’ is another set. Can we say that these are two disjoint sets? Observe that intersection of these two sets is empty.
Classify the following polynomials as linear, quadratic, cubic and biquadratic polynomials:
$7 t^4+4 t^2+3 t-2$
→$7 t^4+4 t^2+3 t-2$
Write the index form of the polynomial using variable x from its coefficient form.
i. $(3,-2,0,7,18)$
ii. $(6,1,0,7)$
iii. $(4,5,-3,0)$
→i. $(3,-2,0,7,18)$
ii. $(6,1,0,7)$
iii. $(4,5,-3,0)$
From the choices given below, choose the equation whose graph is given in Fig.
[Hint: Clearly, (-1, 1) and (1, -1) satisfy the equation x + y = 0]
- y = x
- x + y = 0
- y = 2x
- 2 + 3y = 7x
[Hint: Clearly, (-1, 1) and (1, -1) satisfy the equation x + y = 0]