Question
Factorise:
$32 x^4-500 x$
$32 x^4-500 x$
✓
Answer
$32 x^4-500 x$
$=4 x\left(8 x^3-125\right)$
$=4 x\left[(2 x)^3-(5)^3\right]$
$=4 x\left[(2 x-5)\left((2 x)^2+2 x \times 5+(5)^2\right] \text { Since } a^3-b^3=(a-b)\left(a^2+a \times b+b^2\right)\right.$
$=4 x(2 x-5)\left(4 x^2+10 x+25\right)$
$=4 x\left(8 x^3-125\right)$
$=4 x\left[(2 x)^3-(5)^3\right]$
$=4 x\left[(2 x-5)\left((2 x)^2+2 x \times 5+(5)^2\right] \text { Since } a^3-b^3=(a-b)\left(a^2+a \times b+b^2\right)\right.$
$=4 x(2 x-5)\left(4 x^2+10 x+25\right)$
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
Factorise:
$(3 a-2 b)^3+(2 b-5 c)^3+(5 c-3 a)^3$
→$(3 a-2 b)^3+(2 b-5 c)^3+(5 c-3 a)^3$
Factorise:
$8-27 b^3-343 c^3-126 b c$
→$8-27 b^3-343 c^3-126 b c$
If $a^2+b^2+c^2=20$ and $a+b+c=0$, find $a b+b c+c a$.
→Factorize the following expressions:
$(a-3 b)^3+(3 b-c)^3+(c-a)^3$
→$(a-3 b)^3+(3 b-c)^3+(c-a)^3$
Examine whether the following number are rational or irrational:$\frac{2\sqrt{13}}{3\sqrt{52}-4\sqrt{117}}$
→Tan θ = 1.Find Sin θ= , Cos θ= ?
Factorise:$\text{x}^2+\sqrt{2}\text{x}-24$
→If the sides of a triangle are produced in order, prove that the sum of the exterior angles so formed is equal to four right angles.
Evaluate:
$(99)^3$
→$(99)^3$
Expand:
$(3x + 2)^3$
→$(3x + 2)^3$