Question

Answer me Genius please​

Answer 1

Answer:

(a)  x²-225=(x+15)(x-15)

(b)  289-a²=(17+a)(17-a)

(c)  450-2x²=2(15+x)(15-x)

(d)  3m²-48n²=3(m+16n)(m-16n)

(e)  m⁴-n⁴=(m²+n²)(m+n)(m-n)

(f)  5m⁴-125n⁴=5(m²+5n²)(m²-5n²)    

(g)  ay²-81ax²=a(y+9x)(y-9x)

(h)  20z²-45y²=5(2z+3y)(2z-3y)

Step-by-step explanation:

Factorise:-

(a)

x²-225

=x²-15²

=(x+15)(x-15)                     [As, a²-b²=(a+b)(a-b)]

Ans:-(x+15)(x-15)

(b)

289-a²

=17²-a²

=(17+a)(17-a)                             [As, a²-b²=(a+b)(a-b)]

Ans:-(17+a)(17-a)

(c)

450-2x²

=2(225-x²)

=2(15²-x²)

=2(15+x)(15-x)                                  [As, a²-b²=(a+b)(a-b)]

Ans:-2(15+x)(15-x)

(d)

3m²-48n²

=3(m²-16n²)

=3(m+16n)(m-16n)                               [As, a²-b²=(a+b)(a-b)]

Ans:-3(m+16n)(m-16n)

(e)

m⁴-n⁴

=(m²)²-(n²)²

=(m²+n²)(m²-n²)                               [As, a²-b²=(a+b)(a-b)]

=(m²+n²)(m+n)(m-n)

Ans:-(m²+n²)(m+n)(m-n)

(f)

5m⁴-125n⁴

=5(m⁴-25n⁴)

=5{(m²)²-(5n²)²}

=5(m²+5n²)(m²-5n²)                           [As, a²-b²=(a+b)(a-b)]

Ans:-5(m²+5n²)(m²-5n²)    

(g)

ay²-81ax²

=a(y²-81x²)

=a{y²-(9x)²}

=a(y+9x)(y-9x)                                           [As, a²-b²=(a+b)(a-b)]

Ans:-a(y+9x)(y-9x)

(h)20z²-45y²

=5(4z²-9y²)

=5{(2z)²-(3y)²}

=5(2z+3y)(2z-3y)                                   [As, a²-b²=(a+b)(a-b)]

Ans:-5(2z+3y)(2z-3y)

Hope it helps you =)

Have a great day!!!

Answer 2

Answer:

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