Factorise a ) 21x+49=

b ) 3y^2-y=

c ) 8x^2+4x3=

d ) 24s^3t2+10s^2t4=

Can you answer these please :)

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  a) 7(3x +7)

  b) y(3y -1)

  c) 4x^2(2 +x)

  d) 2s^2t^2(12s +5t^2)

Step-by-step explanation:

These are factored by finding the greatest common factor of the given terms. Generally, that can be found by looking at the factors and finding the largest that is common to all terms.

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a) 21 = 7·3; 49 = 7·7. The GCF is 7. Factoring that out gives ...

  7(3x +7)

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b) y is the only factor common to both terms.

  y(3y -1)

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c) 4 and x^2 are factors common to both terms, assuming the second term is 4x^3.

  4x^2(2 +x)

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d) 10 = 2·5; 24 = 2·12; the factors s^3 and s^2 share a factor of s^2; the terms t^2 and t^4 share a factor of t^2.

  2s^2t^2(12s +5t^2)

the answer is:

the lateral area is equal to

to find the lateral area of the square pyramid, first we need to find the perimeter of the base, and then, find the lateral area using the following formulas:

where,

s, is the base length

slant height, is the height of a the side of the pyramid

we are given:

now, calculating the perimeter of the base, we have:

then, calculating the lateral area:

hence, we have that the lateral area is equal to

have a nice day!

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